4078988928 has 640 divisors, whose sum is σ = 15007872000. Its totient is φ = 1097349120.

The previous prime is 4078988923. The next prime is 4078988957. The reversal of 4078988928 is 8298898704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4078988923) 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 79 ways as a sum of consecutive naturals, for example, 110242926 + ... + 110242962.

It is an arithmetic number, because the mean of its divisors is an integer number (23449800).

Almost surely, 2^4078988928 is an apocalyptic number.

4078988928 is a gapful number since it is divisible by the number (48) 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 4078988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503936000).

4078988928 is an abundant number, since it is smaller than the sum of its proper divisors (10928883072).

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

4078988928 is an equidigital number, since it uses as much as digits as its factorization.

4078988928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The square root of 4078988928 is about 63866.9627272191. The cubic root of 4078988928 is about 1597.7819432276.

The spelling of 4078988928 in words is "four billion, seventy-eight million, nine hundred eighty-eight thousand, nine hundred twenty-eight".