4633728 has 64 divisors (see below), whose sum is σ = 13439520. Its totient is φ = 1402880.

The previous prime is 4633709. The next prime is 4633747. The reversal of 4633728 is 8273364.

It is an interprime number because it is at equal distance from previous prime (4633709) and next prime (4633747).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×4633728³ (a number of 21 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3676 + ... + 4772.

Almost surely, 2^4633728 is an apocalyptic number.

4633728 is a gapful number since it is divisible by the number (48) 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 4633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719760).

4633728 is an abundant number, since it is smaller than the sum of its proper divisors (8805792).

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

4633728 is a wasteful number, since it uses less digits than its factorization.

4633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1113 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 4633728 is about 2152.6095790923. The cubic root of 4633728 is about 166.7158326059.

The spelling of 4633728 in words is "four million, six hundred thirty-three thousand, seven hundred twenty-eight".