84911328 has 240 divisors, whose sum is σ = 276623424. Its totient is φ = 25436160.

The previous prime is 84911293. The next prime is 84911339. The reversal of 84911328 is 82311948.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 84911292 and 84911301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1806601 + ... + 1806647.

Almost surely, 2^84911328 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 84911328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138311712).

84911328 is an abundant number, since it is smaller than the sum of its proper divisors (191712096).

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

84911328 is a wasteful number, since it uses less digits than its factorization.

84911328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 84911328 is about 9214.7342880845. The cubic root of 84911328 is about 439.5300215954.

The spelling of 84911328 in words is "eighty-four million, nine hundred eleven thousand, three hundred twenty-eight".