98832832 has 112 divisors (see below), whose sum is σ = 250179840. Its totient is φ = 37711872.

The previous prime is 98832829. The next prime is 98832859. The reversal of 98832832 is 23823889.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×98832832³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144363 + ... + 145045.

Almost surely, 2^98832832 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 98832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089920).

98832832 is an abundant number, since it is smaller than the sum of its proper divisors (151347008).

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

98832832 is a wasteful number, since it uses less digits than its factorization.

98832832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 728 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 98832832 is about 9941.4703137916. The cubic root of 98832832 is about 462.3459737408.

The spelling of 98832832 in words is "ninety-eight million, eight hundred thirty-two thousand, eight hundred thirty-two".