200928000 has 576 divisors, whose sum is σ = 857106432. Its totient is φ = 40550400.

The previous prime is 200927963. The next prime is 200928001. The reversal of 200928000 is 829002.

It is a super-2 number, since 2×200928000² = 80744122368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (200928001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8735989 + ... + 8736011.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^200928000 is an apocalyptic number.

200928000 is a gapful number since it is divisible by the number (20) 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 200928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428553216).

200928000 is an abundant number, since it is smaller than the sum of its proper divisors (656178432).

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

200928000 is a wasteful number, since it uses less digits than its factorization.

200928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 200928000 is about 14174.9074071050. The cubic root of 200928000 is about 585.7066484373.

The spelling of 200928000 in words is "two hundred million, nine hundred twenty-eight thousand".