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28773120 = 283559127
BaseRepresentation
bin110110111000…
…0101100000000
32000010211022010
41231300230000
524331214440
62504412520
7466365435
oct155605400
960124263
1028773120
1115272742
129777140
135c6571c
143b6db8c
1527d5580
hex1b70b00

28773120 has 144 divisors (see below), whose sum is σ = 94187520. Its totient is φ = 7483392.

The previous prime is 28773119. The next prime is 28773131. The reversal of 28773120 is 2137782.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226497 + ... + 226623.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 228773120 is an apocalyptic number.

28773120 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 28773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093760).

28773120 is an abundant number, since it is smaller than the sum of its proper divisors (65414400).

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

28773120 is a wasteful number, since it uses less digits than its factorization.

28773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 28773120 is about 5364.0581652327. The cubic root of 28773120 is about 306.4283803220.

The spelling of 28773120 in words is "twenty-eight million, seven hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 127 128 160 177 192 236 240 254 256 295 320 354 381 384 472 480 508 590 635 640 708 762 768 885 944 960 1016 1180 1270 1280 1416 1524 1770 1888 1905 1920 2032 2360 2540 2832 3048 3540 3776 3810 3840 4064 4720 5080 5664 6096 7080 7493 7552 7620 8128 9440 10160 11328 12192 14160 14986 15104 15240 16256 18880 20320 22479 22656 24384 28320 29972 30480 32512 37465 37760 40640 44958 45312 48768 56640 59944 60960 74930 75520 81280 89916 97536 112395 113280 119888 121920 149860 162560 179832 224790 226560 239776 243840 299720 359664 449580 479552 487680 599440 719328 899160 959104 1198880 1438656 1798320 1918208 2397760 2877312 3596640 4795520 5754624 7193280 9591040 14386560 28773120