89492928000 has 320 divisors, whose sum is σ = 340052663808. Its totient is φ = 20455219200.

The previous prime is 89492927999. The next prime is 89492928001. The reversal of 89492928000 is 82929498.

It is an interprime number because it is at equal distance from previous prime (89492927999) and next prime (89492928001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89492928001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310707 + ... + 1377293.

Almost surely, 2^89492928000 is an apocalyptic number.

89492928000 is a gapful number since it is divisible by the number (80) 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 89492928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170026331904).

89492928000 is an abundant number, since it is smaller than the sum of its proper divisors (250559735808).

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

89492928000 is an equidigital number, since it uses as much as digits as its factorization.

89492928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66630 (or 66604 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 89492928000 in words is "eighty-nine billion, four hundred ninety-two million, nine hundred twenty-eight thousand".