289128840 has 512 divisors, whose sum is σ = 1219276800. Its totient is φ = 52899840.

The previous prime is 289128821. The next prime is 289128859. The reversal of 289128840 is 48821982.

It is an interprime number because it is at equal distance from previous prime (289128821) and next prime (289128859).

It is a super-2 number, since 2×289128840² = 167190972239491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 289128792 and 289128801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3483439 + ... + 3483521.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^289128840 is an apocalyptic number.

289128840 is a gapful number since it is divisible by the number (20) 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 289128840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

289128840 is an abundant number, since it is smaller than the sum of its proper divisors (930147960).

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

289128840 is a wasteful number, since it uses less digits than its factorization.

289128840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 289128840 is about 17003.7889895164. The cubic root of 289128840 is about 661.2471368737.

The spelling of 289128840 in words is "two hundred eighty-nine million, one hundred twenty-eight thousand, eight hundred forty".