4933728 has 72 divisors (see below), whose sum is σ = 14440608. Its totient is φ = 1596672.

The previous prime is 4933727. The next prime is 4933751. The reversal of 4933728 is 8273394.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 4² + 9² + 3⁵ + 3¹⁴ + 7⁶ + 2 + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 4933692 and 4933701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4933727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10425 + ... + 10887.

It is an arithmetic number, because the mean of its divisors is an integer number (200564).

Almost surely, 2^4933728 is an apocalyptic number.

4933728 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 4933728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220304).

4933728 is an abundant number, since it is smaller than the sum of its proper divisors (9506880).

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

4933728 is a wasteful number, since it uses less digits than its factorization.

4933728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 4933728 is about 2221.1996758509. The cubic root of 4933728 is about 170.2387418406.

The spelling of 4933728 in words is "four million, nine hundred thirty-three thousand, seven hundred twenty-eight".