4753728 has 140 divisors (see below), whose sum is σ = 16227552. Its totient is φ = 1347840.

The previous prime is 4753711. The next prime is 4753739. The reversal of 4753728 is 8273574.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 4¹¹ + 7 + 5³ + 3⁷ + 7² + 2¹⁹ + 8⁵ .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 4753692 and 4753701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36223 + ... + 36353.

Almost surely, 2^4753728 is an apocalyptic number.

4753728 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 4753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8113776).

4753728 is an abundant number, since it is smaller than the sum of its proper divisors (11473824).

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

4753728 is a wasteful number, since it uses less digits than its factorization.

4753728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 4753728 is about 2180.3045658806. The cubic root of 4753728 is about 168.1427358376.

The spelling of 4753728 in words is "four million, seven hundred fifty-three thousand, seven hundred twenty-eight".