7428044800 has 288 divisors, whose sum is σ = 20443222800. Its totient is φ = 2676326400.

The previous prime is 7428044797. The next prime is 7428044831. The reversal of 7428044800 is 84408247.

It is a self number, because there is not a number n which added to its sum of digits gives 7428044800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68147146 + ... + 68147254.

Almost surely, 2^7428044800 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 7428044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221611400).

7428044800 is an abundant number, since it is smaller than the sum of its proper divisors (13015178000).

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

7428044800 is a wasteful number, since it uses less digits than its factorization.

7428044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 7428044800 is about 86186.1056087349. The cubic root of 7428044800 is about 1951.1538032506.

The spelling of 7428044800 in words is "seven billion, four hundred twenty-eight million, forty-four thousand, eight hundred".