84401328 has 80 divisors (see below), whose sum is σ = 251876736. Its totient is φ = 24069120.

The previous prime is 84401293. The next prime is 84401347. The reversal of 84401328 is 82310448.

It is a junction number, because it is equal to n+sod(n) for n = 84401295 and 84401304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4275 + ... + 13677.

Almost surely, 2^84401328 is an apocalyptic number.

84401328 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 84401328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125938368).

84401328 is an abundant number, since it is smaller than the sum of its proper divisors (167475408).

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

84401328 is a wasteful number, since it uses less digits than its factorization.

84401328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 84401328 is about 9187.0195384575. The cubic root of 84401328 is about 438.6482758627.

The spelling of 84401328 in words is "eighty-four million, four hundred one thousand, three hundred twenty-eight".