7038080928 has 384 divisors, whose sum is σ = 22482432000. Its totient is φ = 2161665792.

The previous prime is 7038080927. The next prime is 7038080957. The reversal of 7038080928 is 8290808307.

It is not an unprimeable number, because it can be changed into a prime (7038080927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89089593 + ... + 89089671.

It is an arithmetic number, because the mean of its divisors is an integer number (58548000).

Almost surely, 2^7038080928 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 7038080928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11241216000).

7038080928 is an abundant number, since it is smaller than the sum of its proper divisors (15444351072).

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

7038080928 is an equidigital number, since it uses as much as digits as its factorization.

7038080928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7038080928 is about 83893.2710531661. The cubic root of 7038080928 is about 1916.3937777621.

The spelling of 7038080928 in words is "seven billion, thirty-eight million, eighty thousand, nine hundred twenty-eight".