84328992 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 24157440.

The previous prime is 84328963. The next prime is 84328997. The reversal of 84328992 is 29982348.

It is a super-2 number, since 2×84328992² = 14222757783472128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (84328997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180343 + ... + 180809.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^84328992 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 84328992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

84328992 is an abundant number, since it is smaller than the sum of its proper divisors (198717408).

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

84328992 is a wasteful number, since it uses less digits than its factorization.

84328992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 84328992 is about 9183.0818356367. The cubic root of 84328992 is about 438.5229258179.

It can be divided in two parts, 8432 and 8992, that added together give a square (17424 = 132²).

The spelling of 84328992 in words is "eighty-four million, three hundred twenty-eight thousand, nine hundred ninety-two".