828978840 has 128 divisors (see below), whose sum is σ = 2781432000. Its totient is φ = 219608064.

The previous prime is 828978827. The next prime is 828978853. The reversal of 828978840 is 48879828.

It is an interprime number because it is at equal distance from previous prime (828978827) and next prime (828978853).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167116 + ... + 172004.

Almost surely, 2^828978840 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 828978840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390716000).

828978840 is an abundant number, since it is smaller than the sum of its proper divisors (1952453160).

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

828978840 is a wasteful number, since it uses less digits than its factorization.

828978840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 828978840 is about 28791.9926368426. The cubic root of 828978840 is about 939.3940715488.

It can be divided in two parts, 8289788 and 40, that added together give a palindrome (8289828).

The spelling of 828978840 in words is "eight hundred twenty-eight million, nine hundred seventy-eight thousand, eight hundred forty".