429028369 has 27 divisors (see below), whose sum is σ = 550615611. Its totient is φ = 333065040.

The previous prime is 429028367. The next prime is 429028393. The reversal of 429028369 is 963820924.

The square root of 429028369 is 20713.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28227969 + 400800400 = 5313^2 + 20020^2 .

It is not a de Polignac number, because 429028369 - 2¹ = 429028367 is a prime.

It is a super-2 number, since 2×429028369² = 368130682813600322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (429028367) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1594767 + ... + 1595035.

Almost surely, 2^429028369 is an apocalyptic number.

429028369 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

429028369 is the 20713-rd square number.

429028369 is the 10357-th centered octagonal number.

It is an amenable number.

429028369 is a deficient number, since it is larger than the sum of its proper divisors (121587242).

429028369 is an equidigital number, since it uses as much as digits as its factorization.

429028369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The cubic root of 429028369 is about 754.2152974525.

Multiplying 429028369 by its product of nonzero digits (186624), we get a square (80066990336256 = 8948016²).

The spelling of 429028369 in words is "four hundred twenty-nine million, twenty-eight thousand, three hundred sixty-nine".