289752148 has 48 divisors (see below), whose sum is σ = 619436160. Its totient is φ = 115762176.

The previous prime is 289752121. The next prime is 289752149. The reversal of 289752148 is 841257982.

It is a super-2 number, since 2×289752148² = 167912614541227808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 289752098 and 289752107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289752149) 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, 48088 + ... + 53776.

It is an arithmetic number, because the mean of its divisors is an integer number (12904920).

Almost surely, 2^289752148 is an apocalyptic number.

289752148 is a gapful number since it is divisible by the number (28) 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 289752148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309718080).

289752148 is an abundant number, since it is smaller than the sum of its proper divisors (329684012).

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

289752148 is a wasteful number, since it uses less digits than its factorization.

289752148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824 (or 5822 counting only the distinct ones).

The product of its digits is 322560, while the sum is 46.

The square root of 289752148 is about 17022.1076250857. The cubic root of 289752148 is about 661.7219710964.

The spelling of 289752148 in words is "two hundred eighty-nine million, seven hundred fifty-two thousand, one hundred forty-eight".