828606720 has 288 divisors, whose sum is σ = 2863889280. Its totient is φ = 203489280.

The previous prime is 828606677. The next prime is 828606743. The reversal of 828606720 is 27606828.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2991222 + ... + 2991498.

It is an arithmetic number, because the mean of its divisors is an integer number (9944060).

Almost surely, 2^828606720 is an apocalyptic number.

828606720 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 828606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431944640).

828606720 is an abundant number, since it is smaller than the sum of its proper divisors (2035282560).

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

828606720 is a wasteful number, since it uses less digits than its factorization.

828606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 828606720 is about 28785.5296980966. The cubic root of 828606720 is about 939.2534890941.

The spelling of 828606720 in words is "eight hundred twenty-eight million, six hundred six thousand, seven hundred twenty".