98357428224 has 960 divisors, whose sum is σ = 356714668800. Its totient is φ = 26424115200.

The previous prime is 98357428219. The next prime is 98357428237. The reversal of 98357428224 is 42282475389.

98357428224 is a `hidden beast` number, since 9 + 8 + 357 + 4 + 282 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7741440) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2398961644 + ... + 2398961684.

It is an arithmetic number, because the mean of its divisors is an integer number (371577780).

Almost surely, 2^98357428224 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 98357428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178357334400).

98357428224 is an abundant number, since it is smaller than the sum of its proper divisors (258357240576).

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

98357428224 is a wasteful number, since it uses less digits than its factorization.

98357428224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 98357428224 in words is "ninety-eight billion, three hundred fifty-seven million, four hundred twenty-eight thousand, two hundred twenty-four".