4492412928 has 384 divisors, whose sum is σ = 14506128000. Its totient is φ = 1385496576.

The previous prime is 4492412921. The next prime is 4492412933. The reversal of 4492412928 is 8292142944.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (331776) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (4492412921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76142563 + ... + 76142621.

It is an arithmetic number, because the mean of its divisors is an integer number (37776375).

Almost surely, 2^4492412928 is an apocalyptic number.

4492412928 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 4492412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253064000).

4492412928 is an abundant number, since it is smaller than the sum of its proper divisors (10013715072).

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

4492412928 is an frugal number, since it uses more digits than its factorization.

4492412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4492412928 is about 67025.4647727265. The cubic root of 4492412928 is about 1650.0352521394.

The spelling of 4492412928 in words is "four billion, four hundred ninety-two million, four hundred twelve thousand, nine hundred twenty-eight".