883728000 has 576 divisors, whose sum is σ = 3546546120. Its totient is φ = 210124800.

The previous prime is 883727987. The next prime is 883728029. The reversal of 883728000 is 827388.

It can be written as a sum of positive squares in 4 ways, for example, as 384473664 + 499254336 = 19608^2 + 22344^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×883728000³ (a number of 28 digits) contains 333 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 46511991 + ... + 46512009.

Almost surely, 2^883728000 is an apocalyptic number.

883728000 is a gapful number since it is divisible by the number (80) 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 883728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773273060).

883728000 is an abundant number, since it is smaller than the sum of its proper divisors (2662818120).

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

883728000 is a wasteful number, since it uses less digits than its factorization.

883728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 883728000 is about 29727.5629677241. The cubic root of 883728000 is about 959.6352781196.

The spelling of 883728000 in words is "eight hundred eighty-three million, seven hundred twenty-eight thousand".