345289428 has 144 divisors (see below), whose sum is σ = 997738560. Its totient is φ = 99724800.

The previous prime is 345289411. The next prime is 345289429. The reversal of 345289428 is 824982543.

345289428 is a `hidden beast` number, since 34 + 528 + 94 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345289429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1228648 + ... + 1228928.

It is an arithmetic number, because the mean of its divisors is an integer number (6928740).

Almost surely, 2^345289428 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 345289428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498869280).

345289428 is an abundant number, since it is smaller than the sum of its proper divisors (652449132).

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

345289428 is a wasteful number, since it uses less digits than its factorization.

345289428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 345289428 is about 18581.9651275101. The cubic root of 345289428 is about 701.5539816622.

It can be divided in two parts, 34528 and 9428, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 345289428 in words is "three hundred forty-five million, two hundred eighty-nine thousand, four hundred twenty-eight".