98272800 has 108 divisors (see below), whose sum is σ = 346559850. Its totient is φ = 26204160.

The previous prime is 98272789. The next prime is 98272847. The reversal of 98272800 is 827289.

It can be written as a sum of positive squares in 3 ways, for example, as 51322896 + 46949904 = 7164^2 + 6852^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 376 + ... + 14024.

Almost surely, 2^98272800 is an apocalyptic number.

98272800 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 98272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173279925).

98272800 is an abundant number, since it is smaller than the sum of its proper divisors (248287050).

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

98272800 is a wasteful number, since it uses less digits than its factorization.

98272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13675 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 98272800 is about 9913.2638419443. The cubic root of 98272800 is about 461.4710311746.

The spelling of 98272800 in words is "ninety-eight million, two hundred seventy-two thousand, eight hundred".