52728084 has 72 divisors (see below), whose sum is σ = 146397888. Its totient is φ = 16536960.

The previous prime is 52728083. The next prime is 52728089. The reversal of 52728084 is 48082725.

It is a happy number.

It is a super-2 number, since 2×52728084² = 5560501684622112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52728083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14929 + ... + 18119.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2^52728084 is an apocalyptic number.

52728084 is a gapful number since it is divisible by the number (54) 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 52728084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944).

52728084 is an abundant number, since it is smaller than the sum of its proper divisors (93669804).

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

52728084 is a wasteful number, since it uses less digits than its factorization.

52728084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 52728084 is about 7261.4106067623. The cubic root of 52728084 is about 374.9850874070.

The spelling of 52728084 in words is "fifty-two million, seven hundred twenty-eight thousand, eighty-four".