828380420 has 192 divisors, whose sum is σ = 2261468160. Its totient is φ = 248168448.

The previous prime is 828380417. The next prime is 828380459. The reversal of 828380420 is 24083828.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025176 + ... + 2025584.

It is an arithmetic number, because the mean of its divisors is an integer number (11778480).

Almost surely, 2^828380420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828380420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130734080).

828380420 is an abundant number, since it is smaller than the sum of its proper divisors (1433087740).

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

828380420 is a wasteful number, since it uses less digits than its factorization.

828380420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 828380420 is about 28781.5986352391. The cubic root of 828380420 is about 939.1679750971.

The spelling of 828380420 in words is "eight hundred twenty-eight million, three hundred eighty thousand, four hundred twenty".