828960000 has 360 divisors, whose sum is σ = 3026706144. Its totient is φ = 199680000.

The previous prime is 828959981. The next prime is 828960007. The reversal of 828960000 is 69828.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828960007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5279922 + ... + 5280078.

Almost surely, 2^828960000 is an apocalyptic number.

828960000 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 828960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513353072).

828960000 is an abundant number, since it is smaller than the sum of its proper divisors (2197746144).

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

828960000 is a wasteful number, since it uses less digits than its factorization.

828960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 828960000 is about 28791.6654606850. The cubic root of 828960000 is about 939.3869550348.

The spelling of 828960000 in words is "eight hundred twenty-eight million, nine hundred sixty thousand".