98928000 has 256 divisors, whose sum is σ = 365976000. Its totient is φ = 26265600.

The previous prime is 98927999. The next prime is 98928007. The reversal of 98928000 is 82989.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98928007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 431886 + ... + 432114.

Almost surely, 2^98928000 is an apocalyptic number.

98928000 is a gapful number since it is divisible by the number (90) 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 98928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988000).

98928000 is an abundant number, since it is smaller than the sum of its proper divisors (267048000).

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

98928000 is a wasteful number, since it uses less digits than its factorization.

98928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 98928000 is about 9946.2555768490. The cubic root of 98928000 is about 462.4943266896.

The spelling of 98928000 in words is "ninety-eight million, nine hundred twenty-eight thousand".