90428944320 has 1120 divisors, whose sum is σ = 390594226176. Its totient is φ = 19558195200.

The previous prime is 90428944301. The next prime is 90428944349. The reversal of 90428944320 is 2344982409.

It is a happy number.

90428944320 is a `hidden beast` number, since 9 + 0 + 4 + 289 + 44 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114902967 + ... + 114903753.

Almost surely, 2^90428944320 is an apocalyptic number.

90428944320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90428944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195297113088).

90428944320 is an abundant number, since it is smaller than the sum of its proper divisors (300165281856).

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

90428944320 is a wasteful number, since it uses less digits than its factorization.

90428944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 90428944320 in words is "ninety billion, four hundred twenty-eight million, nine hundred forty-four thousand, three hundred twenty".