74948328 has 320 divisors, whose sum is σ = 273208320. Its totient is φ = 18662400.

The previous prime is 74948317. The next prime is 74948333. The reversal of 74948328 is 82384947.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1827988 + ... + 1828028.

It is an arithmetic number, because the mean of its divisors is an integer number (853776).

Almost surely, 2^74948328 is an apocalyptic number.

74948328 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 74948328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136604160).

74948328 is an abundant number, since it is smaller than the sum of its proper divisors (198259992).

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

74948328 is a wasteful number, since it uses less digits than its factorization.

74948328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

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

The square root of 74948328 is about 8657.2702395155. The cubic root of 74948328 is about 421.6194618392.

The spelling of 74948328 in words is "seventy-four million, nine hundred forty-eight thousand, three hundred twenty-eight".