5285952 has 224 divisors, whose sum is σ = 19507200. Its totient is φ = 1368576.

The previous prime is 5285941. The next prime is 5285953. The reversal of 5285952 is 2595825.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (5285953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229813 + ... + 229835.

Almost surely, 2^5285952 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 5285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753600).

5285952 is an abundant number, since it is smaller than the sum of its proper divisors (14221248).

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

5285952 is a wasteful number, since it uses less digits than its factorization.

5285952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 5285952 is about 2299.1198315877. The cubic root of 5285952 is about 174.1971605782.

The spelling of 5285952 in words is "five million, two hundred eighty-five thousand, nine hundred fifty-two".