84717828 has 72 divisors (see below), whose sum is σ = 232290968. Its totient is φ = 25878528.

The previous prime is 84717821. The next prime is 84717877. The reversal of 84717828 is 82871748.

It can be written as a sum of positive squares in 4 ways, for example, as 5008644 + 79709184 = 2238^2 + 8928^2 .

It is a super-2 number, since 2×84717828² = 14354220762075168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84717821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72900 + ... + 74052.

Almost surely, 2^84717828 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 84717828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116145484).

84717828 is an abundant number, since it is smaller than the sum of its proper divisors (147573140).

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

84717828 is a wasteful number, since it uses less digits than its factorization.

84717828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1328 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 84717828 is about 9204.2288107152. The cubic root of 84717828 is about 439.1958936381.

The spelling of 84717828 in words is "eighty-four million, seven hundred seventeen thousand, eight hundred twenty-eight".