98028284256 has 288 divisors, whose sum is σ = 338492831040. Its totient is φ = 26310832128.

The previous prime is 98028284231. The next prime is 98028284279. The reversal of 98028284256 is 65248282089.

It is a happy number.

98028284256 is a `hidden beast` number, since 98 + 0 + 28 + 284 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2140510 + ... + 2185826.

It is an arithmetic number, because the mean of its divisors is an integer number (1175322330).

Almost surely, 2^98028284256 is an apocalyptic number.

98028284256 is a gapful number since it is divisible by the number (96) 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 98028284256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169246415520).

98028284256 is an abundant number, since it is smaller than the sum of its proper divisors (240464546784).

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

98028284256 is a wasteful number, since it uses less digits than its factorization.

98028284256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45406 (or 45395 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 98028284256 in words is "ninety-eight billion, twenty-eight million, two hundred eighty-four thousand, two hundred fifty-six".