90389996928 has 1152 divisors, whose sum is σ = 350797224960. Its totient is φ = 22663618560.

The previous prime is 90389996909. The next prime is 90389996951. The reversal of 90389996928 is 82969998309.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1238219100 + ... + 1238219172.

It is an arithmetic number, because the mean of its divisors is an integer number (304511480).

Almost surely, 2^90389996928 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 90389996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175398612480).

90389996928 is an abundant number, since it is smaller than the sum of its proper divisors (260407228032).

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

90389996928 is a wasteful number, since it uses less digits than its factorization.

90389996928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 72.

The spelling of 90389996928 in words is "ninety billion, three hundred eighty-nine million, nine hundred ninety-six thousand, nine hundred twenty-eight".