98208768 has 88 divisors (see below), whose sum is σ = 299222272. Its totient is φ = 28053504.

The previous prime is 98208763. The next prime is 98208769. The reversal of 98208768 is 86780289.

It is a happy number.

It is a super-2 number, since 2×98208768² = 19289924224155648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (98208763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19221 + ... + 23787.

Almost surely, 2^98208768 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 98208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149611136).

98208768 is an abundant number, since it is smaller than the sum of its proper divisors (201013504).

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

98208768 is a wasteful number, since it uses less digits than its factorization.

98208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 98208768 is about 9910.0337032727. The cubic root of 98208768 is about 461.3707818918.

The spelling of 98208768 in words is "ninety-eight million, two hundred eight thousand, seven hundred sixty-eight".