90188928 has 96 divisors (see below), whose sum is σ = 263078400. Its totient is φ = 29652480.

The previous prime is 90188921. The next prime is 90188947. The reversal of 90188928 is 82988109.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90188921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90513 + ... + 91503.

It is an arithmetic number, because the mean of its divisors is an integer number (2740400).

Almost surely, 2^90188928 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 90188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131539200).

90188928 is an abundant number, since it is smaller than the sum of its proper divisors (172889472).

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

90188928 is a wasteful number, since it uses less digits than its factorization.

90188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 90188928 is about 9496.7851402461. The cubic root of 90188928 is about 448.4538343178.

The spelling of 90188928 in words is "ninety million, one hundred eighty-eight thousand, nine hundred twenty-eight".