90633828528 has 160 divisors (see below), whose sum is σ = 277806028800. Its totient is φ = 28228435200.

The previous prime is 90633828517. The next prime is 90633828529. The reversal of 90633828528 is 82582833609.

90633828528 is a `hidden beast` number, since 9 + 0 + 6 + 33 + 82 + 8 + 528 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90633828529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271683 + ... + 505053.

It is an arithmetic number, because the mean of its divisors is an integer number (1736287680).

Almost surely, 2^90633828528 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 90633828528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138903014400).

90633828528 is an abundant number, since it is smaller than the sum of its proper divisors (187172200272).

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

90633828528 is a wasteful number, since it uses less digits than its factorization.

90633828528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233448 (or 233436 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 90633828528 in words is "ninety billion, six hundred thirty-three million, eight hundred twenty-eight thousand, five hundred twenty-eight".