4728192 has 64 divisors (see below), whose sum is σ = 14361600. Its totient is φ = 1350144.

The previous prime is 4728181. The next prime is 4728203. The reversal of 4728192 is 2918274.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4728181) and next prime (4728203).

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

It is a congruent number.

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, 1809 + ... + 3567.

It is an arithmetic number, because the mean of its divisors is an integer number (224400).

Almost surely, 2^4728192 is an apocalyptic number.

4728192 is a gapful number since it is divisible by the number (42) 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 4728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180800).

4728192 is an abundant number, since it is smaller than the sum of its proper divisors (9633408).

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

4728192 is a wasteful number, since it uses less digits than its factorization.

4728192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1771 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 4728192 is about 2174.4406177222. The cubic root of 4728192 is about 167.8411196329.

Subtracting from 4728192 its product of digits (8064), we obtain a triangular number (4720128 = T₃₀₇₂).

The spelling of 4728192 in words is "four million, seven hundred twenty-eight thousand, one hundred ninety-two".