4092528960 has 336 divisors, whose sum is σ = 15252466320. Its totient is φ = 1001226240.

The previous prime is 4092528929. The next prime is 4092528961. The reversal of 4092528960 is 698252904.

4092528960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 393943104 + 3698585856 = 19848^2 + 60816^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4092528961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10520446 + ... + 10520834.

It is an arithmetic number, because the mean of its divisors is an integer number (45394245).

Almost surely, 2^4092528960 is an apocalyptic number.

4092528960 is a gapful number since it is divisible by the number (40) 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 4092528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626233160).

4092528960 is an abundant number, since it is smaller than the sum of its proper divisors (11159937360).

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

4092528960 is a wasteful number, since it uses less digits than its factorization.

4092528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4092528960 is about 63972.8767525738. The cubic root of 4092528960 is about 1599.5479139401.

The spelling of 4092528960 in words is "four billion, ninety-two million, five hundred twenty-eight thousand, nine hundred sixty".