90653928 has 64 divisors (see below), whose sum is σ = 242948160. Its totient is φ = 28087296.

The previous prime is 90653909. The next prime is 90653947. The reversal of 90653928 is 82935609.

It is an interprime number because it is at equal distance from previous prime (90653909) and next prime (90653947).

It is a self number, because there is not a number n which added to its sum of digits gives 90653928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32526 + ... + 35202.

It is an arithmetic number, because the mean of its divisors is an integer number (3796065).

Almost surely, 2^90653928 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 90653928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121474080).

90653928 is an abundant number, since it is smaller than the sum of its proper divisors (152294232).

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

90653928 is a wasteful number, since it uses less digits than its factorization.

90653928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 90653928 is about 9521.2356340971. The cubic root of 90653928 is about 449.2232327948.

The spelling of 90653928 in words is "ninety million, six hundred fifty-three thousand, nine hundred twenty-eight".