98083200 has 192 divisors, whose sum is σ = 342634320. Its totient is φ = 24576000.

The previous prime is 98083177. The next prime is 98083211. The reversal of 98083200 is 238089.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162900 + ... + 163500.

Almost surely, 2^98083200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171317160).

98083200 is an abundant number, since it is smaller than the sum of its proper divisors (244551120).

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

98083200 is a wasteful number, since it uses less digits than its factorization.

98083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 98083200 is about 9903.6962796726. The cubic root of 98083200 is about 461.1740645112.

The spelling of 98083200 in words is "ninety-eight million, eighty-three thousand, two hundred".