98072832 has 288 divisors, whose sum is σ = 329656320. Its totient is φ = 25436160.

The previous prime is 98072783. The next prime is 98072833. The reversal of 98072832 is 23827089.

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

It is not an unprimeable number, because it can be changed into a prime (98072833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086633 + ... + 2086679.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^98072832 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 98072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

98072832 is an abundant number, since it is smaller than the sum of its proper divisors (231583488).

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

98072832 is a wasteful number, since it uses less digits than its factorization.

98072832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

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

The square root of 98072832 is about 9903.1728249082. The cubic root of 98072832 is about 461.1578142897.

The spelling of 98072832 in words is "ninety-eight million, seventy-two thousand, eight hundred thirty-two".