90413128 has 32 divisors (see below), whose sum is σ = 185081400. Its totient is φ = 41154048.

The previous prime is 90413117. The next prime is 90413129. The reversal of 90413128 is 82131409.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58400164 + 32012964 = 7642^2 + 5658^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90413096 and 90413105.

It is not an unprimeable number, because it can be changed into a prime (90413129) 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 7 ways as a sum of consecutive naturals, for example, 1638 + ... + 13546.

Almost surely, 2^90413128 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 90413128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92540700).

90413128 is an abundant number, since it is smaller than the sum of its proper divisors (94668272).

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

90413128 is a wasteful number, since it uses less digits than its factorization.

90413128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12001 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 90413128 is about 9508.5818080300. The cubic root of 90413128 is about 448.8251295290.

The spelling of 90413128 in words is "ninety million, four hundred thirteen thousand, one hundred twenty-eight".