4375728 has 80 divisors (see below), whose sum is σ = 14364160. Its totient is φ = 1249344.

The previous prime is 4375717. The next prime is 4375729. The reversal of 4375728 is 8275734.

It is a super-3 number, since 3×4375728³ (a number of 21 digits) contains 333 as substring.

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 + 3⁹ + 7 + 5⁵ + 7⁶ + 2¹³ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 4375692 and 4375701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4375729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2301 + ... + 3747.

It is an arithmetic number, because the mean of its divisors is an integer number (179552).

Almost surely, 2^4375728 is an apocalyptic number.

4375728 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 4375728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182080).

4375728 is an abundant number, since it is smaller than the sum of its proper divisors (9988432).

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

4375728 is a wasteful number, since it uses less digits than its factorization.

4375728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1459 counting only the distinct ones).

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

The square root of 4375728 is about 2091.8240843819. The cubic root of 4375728 is about 163.5623867635.

It can be divided in two parts, 437572 and 8, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 4375728 in words is "four million, three hundred seventy-five thousand, seven hundred twenty-eight".