828927865920 has 672 divisors, whose sum is σ = 3317701572864. Its totient is φ = 171641733120.

The previous prime is 828927865919. The next prime is 828927865957. The reversal of 828927865920 is 29568729828.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 254504932 + ... + 254508188.

It is an arithmetic number, because the mean of its divisors is an integer number (4937055912).

Almost surely, 2^828927865920 is an apocalyptic number.

828927865920 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 828927865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658850786432).

828927865920 is an abundant number, since it is smaller than the sum of its proper divisors (2488773706944).

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

828927865920 is a wasteful number, since it uses less digits than its factorization.

828927865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 828927865920 in words is "eight hundred twenty-eight billion, nine hundred twenty-seven million, eight hundred sixty-five thousand, nine hundred twenty".