90835428000 has 384 divisors, whose sum is σ = 319191425280. Its totient is φ = 22511923200.

The previous prime is 90835427993. The next prime is 90835428017. The reversal of 90835428000 is 82453809.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90835428000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12080242 + ... + 12087758.

It is an arithmetic number, because the mean of its divisors is an integer number (831227670).

Almost surely, 2^90835428000 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 90835428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159595712640).

90835428000 is an abundant number, since it is smaller than the sum of its proper divisors (228355997280).

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

90835428000 is a wasteful number, since it uses less digits than its factorization.

90835428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 90835428000 in words is "ninety billion, eight hundred thirty-five million, four hundred twenty-eight thousand".