1097928000 has 896 divisors, whose sum is σ = 4792919040. Its totient is φ = 243302400.

The previous prime is 1097927989. The next prime is 1097928061. The reversal of 1097928000 is 8297901.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47735989 + ... + 47736011.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^1097928000 is an apocalyptic number.

1097928000 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 1097928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396459520).

1097928000 is an abundant number, since it is smaller than the sum of its proper divisors (3694991040).

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

1097928000 is a wasteful number, since it uses less digits than its factorization.

1097928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1097928000 is about 33134.9966047984. The cubic root of 1097928000 is about 1031.6315612847.

The spelling of 1097928000 in words is "one billion, ninety-seven million, nine hundred twenty-eight thousand".