289082928 has 80 divisors (see below), whose sum is σ = 759951360. Its totient is φ = 94682112.

The previous prime is 289082903. The next prime is 289082953. The reversal of 289082928 is 829280982.

It is an interprime number because it is at equal distance from previous prime (289082903) and next prime (289082953).

It is a super-2 number, since 2×289082928² = 167137878522106368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1209433 + ... + 1209671.

It is an arithmetic number, because the mean of its divisors is an integer number (9499392).

Almost surely, 2^289082928 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 289082928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379975680).

289082928 is an abundant number, since it is smaller than the sum of its proper divisors (470868432).

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

289082928 is a wasteful number, since it uses less digits than its factorization.

289082928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 289082928 is about 17002.4388838778. The cubic root of 289082928 is about 661.2121342711.

The spelling of 289082928 in words is "two hundred eighty-nine million, eighty-two thousand, nine hundred twenty-eight".