1097628000 has 384 divisors, whose sum is σ = 4189086720. Its totient is φ = 246067200.

The previous prime is 1097627987. The next prime is 1097628017. The reversal of 1097628000 is 8267901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6131911 + ... + 6132089.

It is an arithmetic number, because the mean of its divisors is an integer number (10909080).

Almost surely, 2^1097628000 is an apocalyptic number.

1097628000 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 1097628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094543360).

1097628000 is an abundant number, since it is smaller than the sum of its proper divisors (3091458720).

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

1097628000 is a wasteful number, since it uses less digits than its factorization.

1097628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1097628000 is about 33130.4693597902. The cubic root of 1097628000 is about 1031.5375910483.

The spelling of 1097628000 in words is "one billion, ninety-seven million, six hundred twenty-eight thousand".