84955728 has 80 divisors (see below), whose sum is σ = 257858496. Its totient is φ = 23761920.

The previous prime is 84955723. The next prime is 84955769. The reversal of 84955728 is 82755948.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84955723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676 + ... + 13052.

Almost surely, 2^84955728 is an apocalyptic number.

84955728 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 84955728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128929248).

84955728 is an abundant number, since it is smaller than the sum of its proper divisors (172902768).

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

84955728 is a wasteful number, since it uses less digits than its factorization.

84955728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12412 (or 12406 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 84955728 is about 9217.1431582676. The cubic root of 84955728 is about 439.6066180988.

The spelling of 84955728 in words is "eighty-four million, nine hundred fifty-five thousand, seven hundred twenty-eight".