90332928 has 144 divisors (see below), whose sum is σ = 305455360. Its totient is φ = 25795584.

The previous prime is 90332927. The next prime is 90332929. The reversal of 90332928 is 82923309.

It is an interprime number because it is at equal distance from previous prime (90332927) and next prime (90332929).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90332892 and 90332901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90332923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47451 + ... + 49317.

Almost surely, 2^90332928 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 90332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152727680).

90332928 is an abundant number, since it is smaller than the sum of its proper divisors (215122432).

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

90332928 is a wasteful number, since it uses less digits than its factorization.

90332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90332928 is about 9504.3636294073. The cubic root of 90332928 is about 448.6923817571.

The spelling of 90332928 in words is "ninety million, three hundred thirty-two thousand, nine hundred twenty-eight".