88291100132928 has 1120 divisors, whose sum is σ = 338152065343488. Its totient is φ = 22105836748800.

The previous prime is 88291100132909. The next prime is 88291100132971. The reversal of 88291100132928 is 82923100119288.

88291100132928 is a `hidden beast` number, since 8 + 8 + 291 + 1 + 0 + 0 + 1 + 329 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3180157575 + ... + 3180185337.

Almost surely, 2^{88291100132928} is an apocalyptic number.

88291100132928 is a gapful number since it is divisible by the number (88) 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 88291100132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169076032671744).

88291100132928 is an abundant number, since it is smaller than the sum of its proper divisors (249860965210560).

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

88291100132928 is a wasteful number, since it uses less digits than its factorization.

88291100132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28093 (or 28074 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 88291100132928 in words is "eighty-eight trillion, two hundred ninety-one billion, one hundred million, one hundred thirty-two thousand, nine hundred twenty-eight".