28826429091264 has 168 divisors, whose sum is σ = 98535061248000. Its totient is φ = 7878030285312.

The previous prime is 28826429091247. The next prime is 28826429091277. The reversal of 28826429091264 is 46219092462882.

28826429091264 is a `hidden beast` number, since 2 + 8 + 8 + 264 + 29 + 0 + 91 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×28826429091264² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155329264 + ... + 155514735.

Almost surely, 2^{28826429091264} is an apocalyptic number.

28826429091264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28826429091264 is an abundant number, since it is smaller than the sum of its proper divisors (69708632156736).

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

28826429091264 is a wasteful number, since it uses less digits than its factorization.

28826429091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310844047 (or 310844034 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 28826429091264 in words is "twenty-eight trillion, eight hundred twenty-six billion, four hundred twenty-nine million, ninety-one thousand, two hundred sixty-four".