98528400 has 150 divisors (see below), whose sum is σ = 353726802. Its totient is φ = 26265600.

The previous prime is 98528393. The next prime is 98528401. The reversal of 98528400 is 482589.

98528400 is a `hidden beast` number, since 98 + 528 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28772496 + 69755904 = 5364^2 + 8352^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is not an unprimeable number, because it can be changed into a prime (98528401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30880 + ... + 33920.

Almost surely, 2^98528400 is an apocalyptic number.

98528400 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 98528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176863401).

98528400 is an abundant number, since it is smaller than the sum of its proper divisors (255198402).

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

98528400 is a wasteful number, since it uses less digits than its factorization.

98528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 98528400 is about 9926.1472888528. The cubic root of 98528400 is about 461.8707683746.

The spelling of 98528400 in words is "ninety-eight million, five hundred twenty-eight thousand, four hundred".