289625952 has 96 divisors (see below), whose sum is σ = 947890944. Its totient is φ = 75225600.

The previous prime is 289625909. The next prime is 289625953. The reversal of 289625952 is 259526982.

289625952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289625953) 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, 12199 + ... + 26982.

It is an arithmetic number, because the mean of its divisors is an integer number (9873864).

Almost surely, 2^289625952 is an apocalyptic number.

289625952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

289625952 is an abundant number, since it is smaller than the sum of its proper divisors (658264992).

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

289625952 is a wasteful number, since it uses less digits than its factorization.

289625952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39212 (or 39204 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 289625952 is about 17018.4003948667. The cubic root of 289625952 is about 661.6258903683.

The spelling of 289625952 in words is "two hundred eighty-nine million, six hundred twenty-five thousand, nine hundred fifty-two".