927828000 has 576 divisors, whose sum is σ = 3764517120. Its totient is φ = 221760000.

The previous prime is 927827963. The next prime is 927828019. The reversal of 927828000 is 828729.

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 95 ways as a sum of consecutive naturals, for example, 13067965 + ... + 13068035.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2^927828000 is an apocalyptic number.

927828000 is a gapful number since it is divisible by the number (90) 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 927828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882258560).

927828000 is an abundant number, since it is smaller than the sum of its proper divisors (2836689120).

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

927828000 is a wasteful number, since it uses less digits than its factorization.

927828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 927828000 is about 30460.2692043258. The cubic root of 927828000 is about 975.3395267224.

The spelling of 927828000 in words is "nine hundred twenty-seven million, eight hundred twenty-eight thousand".