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28516752 = 24331117353
BaseRepresentation
bin110110011001…
…0000110010000
31222122210122000
41230302012100
524300014002
62455114000
7464250135
oct154620620
958583560
1028516752
1115108070
129672900
135ba5b24
143b0458c
15278461c
hex1b32190

28516752 has 160 divisors (see below), whose sum is σ = 94815360. Its totient is φ = 8110080.

The previous prime is 28516727. The next prime is 28516759. The reversal of 28516752 is 25761582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28516759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80608 + ... + 80960.

It is an arithmetic number, because the mean of its divisors is an integer number (592596).

Almost surely, 228516752 is an apocalyptic number.

28516752 is a gapful number since it is divisible by the number (22) 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 28516752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47407680).

28516752 is an abundant number, since it is smaller than the sum of its proper divisors (66298608).

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

28516752 is a wasteful number, since it uses less digits than its factorization.

28516752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 28516752 is about 5340.1078640792. The cubic root of 28516752 is about 305.5155733813.

The spelling of 28516752 in words is "twenty-eight million, five hundred sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 353 374 396 408 432 459 528 561 594 612 706 748 792 816 918 1059 1122 1188 1224 1412 1496 1584 1683 1836 2118 2244 2376 2448 2824 2992 3177 3366 3672 3883 4236 4488 4752 5049 5648 6001 6354 6732 7344 7766 8472 8976 9531 10098 11649 12002 12708 13464 15532 16944 18003 19062 20196 23298 24004 25416 26928 31064 34947 36006 38124 40392 46596 48008 50832 54009 62128 66011 69894 72012 76248 80784 93192 96016 104841 108018 132022 139788 144024 152496 162027 186384 198033 209682 216036 264044 279576 288048 324054 396066 419364 432072 528088 559152 594099 648108 792132 838728 864144 1056176 1188198 1296216 1584264 1677456 1782297 2376396 2592432 3168528 3564594 4752792 7129188 9505584 14258376 28516752