828578946 has 96 divisors (see below), whose sum is σ = 1929598848. Its totient is φ = 236221440.

The previous prime is 828578909. The next prime is 828578983. The reversal of 828578946 is 649875828.

It is an interprime number because it is at equal distance from previous prime (828578909) and next prime (828578983).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223560 + ... + 1224236.

It is an arithmetic number, because the mean of its divisors is an integer number (20099988).

Almost surely, 2^828578946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828578946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964799424).

828578946 is an abundant number, since it is smaller than the sum of its proper divisors (1101019902).

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

828578946 is a wasteful number, since it uses less digits than its factorization.

828578946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 783 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The square root of 828578946 is about 28785.0472641613. The cubic root of 828578946 is about 939.2429947235.

The spelling of 828578946 in words is "eight hundred twenty-eight million, five hundred seventy-eight thousand, nine hundred forty-six".