4732728 has 128 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1128960.

The previous prime is 4732711. The next prime is 4732751. The reversal of 4732728 is 8272374.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23926 + ... + 24122.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^4732728 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 4732728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

4732728 is an abundant number, since it is smaller than the sum of its proper divisors (11233992).

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

4732728 is a wasteful number, since it uses less digits than its factorization.

4732728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 4732728 is about 2175.4833945586. The cubic root of 4732728 is about 167.8947753775.

It can be divided in two parts, 4732 and 728, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 4732728 in words is "four million, seven hundred thirty-two thousand, seven hundred twenty-eight".