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28760064 = 211331151
BaseRepresentation
bin110110110110…
…1100000000000
32000010011101120
41231231200000
524330310224
62504232240
7466312404
oct155554000
960104346
1028760064
1115263953
12976b680
135c5c7b8
143b69104
1527d1779
hex1b6d800

28760064 has 96 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 9216000.

The previous prime is 28760059. The next prime is 28760089. The reversal of 28760064 is 46006782.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190389 + ... + 190539.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 228760064 is an apocalyptic number.

28760064 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 28760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).

28760064 is an abundant number, since it is smaller than the sum of its proper divisors (50912256).

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

28760064 is a wasteful number, since it uses less digits than its factorization.

28760064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 28760064 is about 5362.8410381066. The cubic root of 28760064 is about 306.3820253188.

The spelling of 28760064 in words is "twenty-eight million, seven hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 151 186 192 248 256 302 372 384 453 496 512 604 744 768 906 992 1024 1208 1488 1536 1812 1984 2048 2416 2976 3072 3624 3968 4681 4832 5952 6144 7248 7936 9362 9664 11904 14043 14496 15872 18724 19328 23808 28086 28992 31744 37448 38656 47616 56172 57984 63488 74896 77312 95232 112344 115968 149792 154624 190464 224688 231936 299584 309248 449376 463872 599168 898752 927744 1198336 1797504 2396672 3595008 4793344 7190016 9586688 14380032 28760064