98442792 has 96 divisors (see below), whose sum is σ = 312998400. Its totient is φ = 27361152.

The previous prime is 98442761. The next prime is 98442797. The reversal of 98442792 is 29724489.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98442797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16009 + ... + 21287.

It is an arithmetic number, because the mean of its divisors is an integer number (3260400).

Almost surely, 2^98442792 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 98442792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156499200).

98442792 is an abundant number, since it is smaller than the sum of its proper divisors (214555608).

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

98442792 is a wasteful number, since it uses less digits than its factorization.

98442792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335 (or 5328 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 98442792 is about 9921.8341046401. The cubic root of 98442792 is about 461.7369616418.

The spelling of 98442792 in words is "ninety-eight million, four hundred forty-two thousand, seven hundred ninety-two".