84003728 has 80 divisors (see below), whose sum is σ = 178381440. Its totient is φ = 38218752.

The previous prime is 84003713. The next prime is 84003757. The reversal of 84003728 is 82730048.

It is a junction number, because it is equal to n+sod(n) for n = 84003694 and 84003703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150700 + ... + 1150772.

It is an arithmetic number, because the mean of its divisors is an integer number (2229768).

Almost surely, 2^84003728 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 84003728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89190720).

84003728 is an abundant number, since it is smaller than the sum of its proper divisors (94377712).

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

84003728 is a wasteful number, since it uses less digits than its factorization.

84003728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 84003728 is about 9165.3547667289. The cubic root of 84003728 is about 437.9583928006.

The spelling of 84003728 in words is "eighty-four million, three thousand, seven hundred twenty-eight".