98028852768 has 864 divisors, whose sum is σ = 378898648128. Its totient is φ = 23886213120.

The previous prime is 98028852731. The next prime is 98028852769. The reversal of 98028852768 is 86725882089.

98028852768 is a `hidden beast` number, since 9 + 80 + 28 + 8 + 527 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (98028852769) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 319312071 + ... + 319312377.

It is an arithmetic number, because the mean of its divisors is an integer number (438540102).

Almost surely, 2^98028852768 is an apocalyptic number.

98028852768 is a gapful number since it is divisible by the number (98) 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 98028852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189449324064).

98028852768 is an abundant number, since it is smaller than the sum of its proper divisors (280869795360).

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

98028852768 is a wasteful number, since it uses less digits than its factorization.

98028852768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 98028852768 in words is "ninety-eight billion, twenty-eight million, eight hundred fifty-two thousand, seven hundred sixty-eight".