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28769904 = 243479281
BaseRepresentation
bin110110110111…
…1111001110000
32000010122220000
41231233321300
524331114104
62504350000
7466353162
oct155577160
960118800
1028769904
1115270289
129775300
135c64117
143b6c932
1527d4639
hex1b6fe70

28769904 has 100 divisors (see below), whose sum is σ = 84622560. Its totient is φ = 9434880.

The previous prime is 28769893. The next prime is 28769911. The reversal of 28769904 is 40996782.

It is a happy number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 28769904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102244 + ... + 102524.

Almost surely, 228769904 is an apocalyptic number.

28769904 is a gapful number since it is divisible by the number (24) 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 28769904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42311280).

28769904 is an abundant number, since it is smaller than the sum of its proper divisors (55852656).

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

28769904 is a wasteful number, since it uses less digits than its factorization.

28769904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 28769904 is about 5363.7583838201. The cubic root of 28769904 is about 306.4169632958.

The spelling of 28769904 in words is "twenty-eight million, seven hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 281 316 324 432 474 562 632 648 711 843 948 1124 1264 1296 1422 1686 1896 2133 2248 2529 2844 3372 3792 4266 4496 5058 5688 6399 6744 7587 8532 10116 11376 12798 13488 15174 17064 20232 22199 22761 25596 30348 34128 40464 44398 45522 51192 60696 66597 88796 91044 102384 121392 133194 177592 182088 199791 266388 355184 364176 399582 532776 599373 799164 1065552 1198746 1598328 1798119 2397492 3196656 3596238 4794984 7192476 9589968 14384952 28769904