98497728 has 224 divisors, whose sum is σ = 351129600. Its totient is φ = 26431488.

The previous prime is 98497699. The next prime is 98497733. The reversal of 98497728 is 82779489.

It is a tau number, because it is divible by the number of its divisors (224).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205393 + ... + 205871.

Almost surely, 2^98497728 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 98497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

98497728 is an abundant number, since it is smaller than the sum of its proper divisors (252631872).

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

98497728 is a wasteful number, since it uses less digits than its factorization.

98497728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 98497728 is about 9924.6021582731. The cubic root of 98497728 is about 461.8228364400.

It can be divided in two parts, 98497 and 728, that added together give a square (99225 = 315²).

The spelling of 98497728 in words is "ninety-eight million, four hundred ninety-seven thousand, seven hundred twenty-eight".