79648128 has 288 divisors, whose sum is σ = 285699960. Its totient is φ = 21159936.

The previous prime is 79648091. The next prime is 79648159. The reversal of 79648128 is 82184697.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (193536) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 959575 + ... + 959657.

Almost surely, 2^79648128 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 79648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142849980).

79648128 is an abundant number, since it is smaller than the sum of its proper divisors (206051832).

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

79648128 is a wasteful number, since it uses less digits than its factorization.

79648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 79648128 is about 8924.5799901172. The cubic root of 79648128 is about 430.2542718221.

The spelling of 79648128 in words is "seventy-nine million, six hundred forty-eight thousand, one hundred twenty-eight".