79219728 has 320 divisors, whose sum is σ = 291409920. Its totient is φ = 20072448.

The previous prime is 79219709. The next prime is 79219729. The reversal of 79219728 is 82791297.

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 (79219729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1182351 + ... + 1182417.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 2^79219728 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 79219728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).

79219728 is an abundant number, since it is smaller than the sum of its proper divisors (212190192).

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

79219728 is a wasteful number, since it uses less digits than its factorization.

79219728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 79219728 is about 8900.5465000751. The cubic root of 79219728 is about 429.4814878613.

The spelling of 79219728 in words is "seventy-nine million, two hundred nineteen thousand, seven hundred twenty-eight".