429285088 has 96 divisors (see below), whose sum is σ = 965895840. Its totient is φ = 186531840.

The previous prime is 429285067. The next prime is 429285089. The reversal of 429285088 is 880582924.

It is a super-3 number, since 3×429285088³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429285089) 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, 423270 + ... + 424282.

It is an arithmetic number, because the mean of its divisors is an integer number (10061415).

Almost surely, 2^429285088 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 429285088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482947920).

429285088 is an abundant number, since it is smaller than the sum of its proper divisors (536610752).

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

429285088 is a wasteful number, since it uses less digits than its factorization.

429285088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 429285088 is about 20719.1961234021. The cubic root of 429285088 is about 754.3657014852.

The spelling of 429285088 in words is "four hundred twenty-nine million, two hundred eighty-five thousand, eighty-eight".