289773120 has 448 divisors, whose sum is σ = 1179795456. Its totient is φ = 58613760.

The previous prime is 289773103. The next prime is 289773149. The reversal of 289773120 is 21377982.

289773120 = T₁₃₃ + T₁₃₄ + ... + T₁₂₀₂.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×289773120² = 167936922149068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2708107 + ... + 2708213.

It is an arithmetic number, because the mean of its divisors is an integer number (2633472).

Almost surely, 2^289773120 is an apocalyptic number.

289773120 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 289773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589897728).

289773120 is an abundant number, since it is smaller than the sum of its proper divisors (890022336).

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

289773120 is a wasteful number, since it uses less digits than its factorization.

289773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 289773120 is about 17022.7236363632. The cubic root of 289773120 is about 661.7379356584.

The spelling of 289773120 in words is "two hundred eighty-nine million, seven hundred seventy-three thousand, one hundred twenty".