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28990720 = 285112971
BaseRepresentation
bin110111010010…
…1110100000000
32000112212210101
41232211310000
524410200340
62513212144
7501263023
oct156456400
960485711
1028990720
1115401180
129861054
136010795
143bc91ba
152829c9a
hex1ba5d00

28990720 has 144 divisors (see below), whose sum is σ = 79470720. Its totient is φ = 10035200.

The previous prime is 28990711. The next prime is 28990727. The reversal of 28990720 is 2709982.

It is a super-2 number, since 2×289907202 = 1680923692236800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28990720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28990727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408285 + ... + 408355.

It is an arithmetic number, because the mean of its divisors is an integer number (551880).

Almost surely, 228990720 is an apocalyptic number.

28990720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39735360).

28990720 is an abundant number, since it is smaller than the sum of its proper divisors (50480000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28990720 is a wasteful number, since it uses less digits than its factorization.

28990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 28990720 is about 5384.3031118242. The cubic root of 28990720 is about 307.1989076929.

The spelling of 28990720 in words is "twenty-eight million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 71 80 88 110 116 128 142 145 160 176 220 232 256 284 290 319 320 352 355 440 464 568 580 638 640 704 710 781 880 928 1136 1160 1276 1280 1408 1420 1562 1595 1760 1856 2059 2272 2320 2552 2816 2840 3124 3190 3520 3712 3905 4118 4544 4640 5104 5680 6248 6380 7040 7424 7810 8236 9088 9280 10208 10295 11360 12496 12760 14080 15620 16472 18176 18560 20416 20590 22649 22720 24992 25520 31240 32944 37120 40832 41180 45298 45440 49984 51040 62480 65888 81664 82360 90596 90880 99968 102080 113245 124960 131776 164720 181192 199936 204160 226490 249920 263552 329440 362384 408320 452980 499840 527104 658880 724768 905960 999680 1317760 1449536 1811920 2635520 2899072 3623840 5798144 7247680 14495360 28990720