98128992 has 96 divisors (see below), whose sum is σ = 282169440. Its totient is φ = 29675520.

The previous prime is 98128957. The next prime is 98128999. The reversal of 98128992 is 29982189.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98128999) 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, 75484 + ... + 76772.

It is an arithmetic number, because the mean of its divisors is an integer number (2939265).

Almost surely, 2^98128992 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 98128992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141084720).

98128992 is an abundant number, since it is smaller than the sum of its proper divisors (184040448).

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

98128992 is a wasteful number, since it uses less digits than its factorization.

98128992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1368 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The square root of 98128992 is about 9906.0078740126. The cubic root of 98128992 is about 461.2458226280.

The spelling of 98128992 in words is "ninety-eight million, one hundred twenty-eight thousand, nine hundred ninety-two".