90063828288 has 336 divisors, whose sum is σ = 309667046400. Its totient is φ = 25593200640.

The previous prime is 90063828263. The next prime is 90063828311. The reversal of 90063828288 is 88282836009.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×90063828288² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16169568 + ... + 16175136.

Almost surely, 2^90063828288 is an apocalyptic number.

90063828288 is a gapful number since it is divisible by the number (98) 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 90063828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154833523200).

90063828288 is an abundant number, since it is smaller than the sum of its proper divisors (219603218112).

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

90063828288 is a wasteful number, since it uses less digits than its factorization.

90063828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 90063828288 in words is "ninety billion, sixty-three million, eight hundred twenty-eight thousand, two hundred eighty-eight".