7404038928 has 560 divisors, whose sum is σ = 26503553664. Its totient is φ = 1970749440.

The previous prime is 7404038909. The next prime is 7404038953. The reversal of 7404038928 is 8298304047.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 38362800 + ... + 38362992.

Almost surely, 2^7404038928 is an apocalyptic number.

7404038928 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 7404038928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251776832).

7404038928 is an abundant number, since it is smaller than the sum of its proper divisors (19099514736).

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

7404038928 is a wasteful number, since it uses less digits than its factorization.

7404038928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7404038928 is about 86046.7252601748. The cubic root of 7404038928 is about 1949.0496292011.

The spelling of 7404038928 in words is "seven billion, four hundred four million, thirty-eight thousand, nine hundred twenty-eight".