4492828800 has 288 divisors, whose sum is σ = 16258656180. Its totient is φ = 1181122560.

The previous prime is 4492828759. The next prime is 4492828801. The reversal of 4492828800 is 88282944.

It is a happy number.

4492828800 is a `hidden beast` number, since 4 + 492 + 82 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 655769664 + 3837059136 = 25608^2 + 61944^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4492828800² = 40371021252218880000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4492828801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2101332 + ... + 2103468.

Almost surely, 2^4492828800 is an apocalyptic number.

4492828800 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 4492828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8129328090).

4492828800 is an abundant number, since it is smaller than the sum of its proper divisors (11765827380).

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

4492828800 is a wasteful number, since it uses less digits than its factorization.

4492828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4492828800 is about 67028.5670442088. The cubic root of 4492828800 is about 1650.0861662990.

The spelling of 4492828800 in words is "four billion, four hundred ninety-two million, eight hundred twenty-eight thousand, eight hundred".