98728032 has 96 divisors (see below), whose sum is σ = 281111040. Its totient is φ = 30159360.

The previous prime is 98728031. The next prime is 98728067. The reversal of 98728032 is 23082789.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98728031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298107 + ... + 298437.

It is an arithmetic number, because the mean of its divisors is an integer number (2928240).

Almost surely, 2^98728032 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 98728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140555520).

98728032 is an abundant number, since it is smaller than the sum of its proper divisors (182383008).

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

98728032 is a wasteful number, since it uses less digits than its factorization.

98728032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 98728032 is about 9936.1980656587. The cubic root of 98728032 is about 462.1824956954.

The spelling of 98728032 in words is "ninety-eight million, seven hundred twenty-eight thousand, thirty-two".