4789152 has 96 divisors (see below), whose sum is σ = 14636160. Its totient is φ = 1520640.

The previous prime is 4789139. The next prime is 4789177. The reversal of 4789152 is 2519874.

It is a tau number, because it is divible by the number of its divisors (96).

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 + 7⁴ + 8³ + 9⁷ + 1 + 5⁵ + 2⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19752 + ... + 19992.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

Almost surely, 2^4789152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4789152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318080).

4789152 is an abundant number, since it is smaller than the sum of its proper divisors (9847008).

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

4789152 is a wasteful number, since it uses less digits than its factorization.

4789152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 4789152 is about 2188.4131237040. The cubic root of 4789152 is about 168.5593600203.

The spelling of 4789152 in words is "four million, seven hundred eighty-nine thousand, one hundred fifty-two".