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28626816 = 273127587
BaseRepresentation
bin110110100110…
…0111110000000
31222212101121110
41231030332000
524312024231
62501323320
7465216051
oct155147600
958771543
1028626816
1115182829
129706540
135c13c5a
143b32728
1527a7046
hex1b4cf80

28626816 has 64 divisors (see below), whose sum is σ = 76769280. Its totient is φ = 9451008.

The previous prime is 28626803. The next prime is 28626817. The reversal of 28626816 is 61862682.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28626817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48475 + ... + 49061.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 228626816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38384640).

28626816 is an abundant number, since it is smaller than the sum of its proper divisors (48142464).

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

28626816 is a wasteful number, since it uses less digits than its factorization.

28626816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 28626816 is about 5350.4033492812. The cubic root of 28626816 is about 305.9081274023.

The spelling of 28626816 in words is "twenty-eight million, six hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 587 762 1016 1174 1524 1761 2032 2348 3048 3522 4064 4696 6096 7044 8128 9392 12192 14088 16256 18784 24384 28176 37568 48768 56352 74549 75136 112704 149098 223647 225408 298196 447294 596392 894588 1192784 1789176 2385568 3578352 4771136 7156704 9542272 14313408 28626816