7923097728 has 768 divisors, whose sum is σ = 30279312000. Its totient is φ = 2020515840.

The previous prime is 7923097727. The next prime is 7923097739. The reversal of 7923097728 is 8277903297.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7923097723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129886818 + ... + 129886878.

Almost surely, 2^7923097728 is an apocalyptic number.

7923097728 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 7923097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15139656000).

7923097728 is an abundant number, since it is smaller than the sum of its proper divisors (22356214272).

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

7923097728 is a wasteful number, since it uses less digits than its factorization.

7923097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 7923097728 is about 89011.7842086091. The cubic root of 7923097728 is about 1993.5708323806.

The spelling of 7923097728 in words is "seven billion, nine hundred twenty-three million, ninety-seven thousand, seven hundred twenty-eight".