90692828256 has 48 divisors (see below), whose sum is σ = 238145355504. Its totient is φ = 30221205504.

The previous prime is 90692828227. The next prime is 90692828311. The reversal of 90692828256 is 65282829609.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 90692828196 and 90692828205.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 150576 + ... + 451728.

It is an arithmetic number, because the mean of its divisors is an integer number (4961361573).

Almost surely, 2^90692828256 is an apocalyptic number.

90692828256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is a pronic number, being equal to 301152×301153.

It is an amenable number.

90692828256 is an abundant number, since it is smaller than the sum of its proper divisors (147452527248).

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

90692828256 is a wasteful number, since it uses less digits than its factorization.

90692828256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304303 (or 304295 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 90692828256 in words is "ninety billion, six hundred ninety-two million, eight hundred twenty-eight thousand, two hundred fifty-six".