84822528 has 200 divisors, whose sum is σ = 275080608. Its totient is φ = 23181312.

The previous prime is 84822511. The next prime is 84822533. The reversal of 84822528 is 82522848.

It is a super-2 number, since 2×84822528² = 14389722512621568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3687925 + ... + 3687947.

Almost surely, 2^84822528 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 84822528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137540304).

84822528 is an abundant number, since it is smaller than the sum of its proper divisors (190258080).

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

84822528 is an frugal number, since it uses more digits than its factorization.

84822528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 35 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 84822528 is about 9209.9146575851. The cubic root of 84822528 is about 439.3767484470.

It can be divided in two parts, 848225 and 28, that added together give a triangular number (848253 = T₁₃₀₂).

The spelling of 84822528 in words is "eighty-four million, eight hundred twenty-two thousand, five hundred twenty-eight".