79948128 has 144 divisors (see below), whose sum is σ = 238880880. Its totient is φ = 23245824.

The previous prime is 79948117. The next prime is 79948139. The reversal of 79948128 is 82184997.

It is an interprime number because it is at equal distance from previous prime (79948117) and next prime (79948139).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701001 + ... + 1701047.

It is an arithmetic number, because the mean of its divisors is an integer number (1658895).

Almost surely, 2^79948128 is an apocalyptic number.

79948128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119440440).

79948128 is an abundant number, since it is smaller than the sum of its proper divisors (158932752).

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

79948128 is a wasteful number, since it uses less digits than its factorization.

79948128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 94 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 79948128 is about 8941.3717068468. The cubic root of 79948128 is about 430.7937888406.

The spelling of 79948128 in words is "seventy-nine million, nine hundred forty-eight thousand, one hundred twenty-eight".