90279028224 has 800 divisors, whose sum is σ = 355924647936. Its totient is φ = 22056468480.

The previous prime is 90279028193. The next prime is 90279028297. The reversal of 90279028224 is 42282097209.

It is a self number, because there is not a number n which added to its sum of digits gives 90279028224.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 54286017 + ... + 54287679.

Almost surely, 2^90279028224 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 90279028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177962323968).

90279028224 is an abundant number, since it is smaller than the sum of its proper divisors (265645619712).

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

90279028224 is a wasteful number, since it uses less digits than its factorization.

90279028224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 90279028224 in words is "ninety billion, two hundred seventy-nine million, twenty-eight thousand, two hundred twenty-four".