84587328 has 294 divisors, whose sum is σ = 300664626. Its totient is φ = 23514624.

The previous prime is 84587317. The next prime is 84587339. The reversal of 84587328 is 82378548.

It is an interprime number because it is at equal distance from previous prime (84587317) and next prime (84587339).

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 2286144 = 9072^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (294).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2286126 + ... + 2286162.

Almost surely, 2^84587328 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 84587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150332313).

84587328 is an abundant number, since it is smaller than the sum of its proper divisors (216077298).

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

84587328 is an equidigital number, since it uses as much as digits as its factorization.

84587328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 84587328 is about 9197.1369458109. The cubic root of 84587328 is about 438.9702641565.

The spelling of 84587328 in words is "eighty-four million, five hundred eighty-seven thousand, three hundred twenty-eight".