90828283392 has 960 divisors, whose sum is σ = 357477120000. Its totient is φ = 22305300480.

The previous prime is 90828283333. The next prime is 90828283393. The reversal of 90828283392 is 29338282809.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90828283393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182020359 + ... + 182020857.

It is an arithmetic number, because the mean of its divisors is an integer number (372372000).

Almost surely, 2^90828283392 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 90828283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560000).

90828283392 is an abundant number, since it is smaller than the sum of its proper divisors (266648836608).

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

90828283392 is a wasteful number, since it uses less digits than its factorization.

90828283392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 90828283392 in words is "ninety billion, eight hundred twenty-eight million, two hundred eighty-three thousand, three hundred ninety-two".