7352384928 has 288 divisors, whose sum is σ = 23217739776. Its totient is φ = 2030095872.

The previous prime is 7352384827. The next prime is 7352384939. The reversal of 7352384928 is 8294832537.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32970225 + ... + 32970447.

It is an arithmetic number, because the mean of its divisors is an integer number (80617152).

Almost surely, 2^7352384928 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 7352384928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11608869888).

7352384928 is an abundant number, since it is smaller than the sum of its proper divisors (15865354848).

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

7352384928 is a wasteful number, since it uses less digits than its factorization.

7352384928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 7352384928 is about 85746.0490518368. The cubic root of 7352384928 is about 1944.5065573522.

The spelling of 7352384928 in words is "seven billion, three hundred fifty-two million, three hundred eighty-four thousand, nine hundred twenty-eight".