828365880 has 64 divisors (see below), whose sum is σ = 2565273600. Its totient is φ = 213770880.

The previous prime is 828365869. The next prime is 828365893. The reversal of 828365880 is 88563828.

It is a super-2 number, since 2×828365880² = 1372380062296348800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107620 + ... + 115059.

It is an arithmetic number, because the mean of its divisors is an integer number (40082400).

Almost surely, 2^828365880 is an apocalyptic number.

It is an amenable number.

828365880 is an abundant number, since it is smaller than the sum of its proper divisors (1736907720).

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

828365880 is a wasteful number, since it uses less digits than its factorization.

828365880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222724 (or 222720 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 828365880 is about 28781.3460421850. The cubic root of 828365880 is about 939.1624802054.

The spelling of 828365880 in words is "eight hundred twenty-eight million, three hundred sixty-five thousand, eight hundred eighty".