1038628800 has 504 divisors, whose sum is σ = 4127235840. Its totient is φ = 245606400.

The previous prime is 1038628793. The next prime is 1038628807. The reversal of 1038628800 is 88268301.

It is an interprime number because it is at equal distance from previous prime (1038628793) and next prime (1038628807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038628807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12513559 + ... + 12513641.

It is an arithmetic number, because the mean of its divisors is an integer number (8188960).

Almost surely, 2^1038628800 is an apocalyptic number.

1038628800 is a gapful number since it is divisible by the number (10) 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 1038628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063617920).

1038628800 is an abundant number, since it is smaller than the sum of its proper divisors (3088607040).

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

1038628800 is a wasteful number, since it uses less digits than its factorization.

1038628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1038628800 is about 32227.7644275863. The cubic root of 1038628800 is about 1012.7139374172.

The spelling of 1038628800 in words is "one billion, thirty-eight million, six hundred twenty-eight thousand, eight hundred".