84652128 has 120 divisors (see below), whose sum is σ = 271683720. Its totient is φ = 25643520.

The previous prime is 84652111. The next prime is 84652151. The reversal of 84652128 is 82125648.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84652092 and 84652101.

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, 27028 + ... + 29996.

It is an arithmetic number, because the mean of its divisors is an integer number (2264031).

Almost surely, 2^84652128 is an apocalyptic number.

84652128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84652128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135841860).

84652128 is an abundant number, since it is smaller than the sum of its proper divisors (187031592).

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

84652128 is a wasteful number, since it uses less digits than its factorization.

84652128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2985 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 84652128 is about 9200.6591068249. The cubic root of 84652128 is about 439.0823298491.

The spelling of 84652128 in words is "eighty-four million, six hundred fifty-two thousand, one hundred twenty-eight".