828310129920 has 1152 divisors, whose sum is σ = 3672591175680. Its totient is φ = 172112117760.

The previous prime is 828310129831. The next prime is 828310129939. The reversal of 828310129920 is 29921013828.

It is a happy number.

828310129920 is a `hidden beast` number, since 8 + 28 + 310 + 1 + 299 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 210710355 + ... + 210714285.

Almost surely, 2^828310129920 is an apocalyptic number.

828310129920 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 828310129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836295587840).

828310129920 is an abundant number, since it is smaller than the sum of its proper divisors (2844281045760).

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

828310129920 is a wasteful number, since it uses less digits than its factorization.

828310129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 828310129920 in words is "eight hundred twenty-eight billion, three hundred ten million, one hundred twenty-nine thousand, nine hundred twenty".