98368128 has 64 divisors (see below), whose sum is σ = 290332800. Its totient is φ = 32788224.

The previous prime is 98368121. The next prime is 98368129. The reversal of 98368128 is 82186389.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (98368121) 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, 10776 + ... + 17687.

It is an arithmetic number, because the mean of its divisors is an integer number (4536450).

Almost surely, 2^98368128 is an apocalyptic number.

It is an amenable number.

98368128 is an abundant number, since it is smaller than the sum of its proper divisors (191964672).

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

98368128 is a wasteful number, since it uses less digits than its factorization.

98368128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28486 (or 28468 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 98368128 is about 9918.0707801467. The cubic root of 98368128 is about 461.6201972166.

The spelling of 98368128 in words is "ninety-eight million, three hundred sixty-eight thousand, one hundred twenty-eight".