428536 has 32 divisors (see below), whose sum is σ = 894240. Its totient is φ = 191488.

The previous prime is 428531. The next prime is 428539. The reversal of 428536 is 635824.

428536 = T₁ + T₂ + ... + T₁₃₆.

428536 is a nontrivial binomial coefficient, being equal to C(138, 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428531) by changing a digit.

It is the 136-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3060 + ... + 3196.

It is an arithmetic number, because the mean of its divisors is an integer number (27945).

2⁴²⁸⁵³⁶ is an apocalyptic number.

428536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

428536 is the 535-th centered triangular number.

It is an amenable number.

428536 is an abundant number, since it is smaller than the sum of its proper divisors (465704).

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

428536 is a wasteful number, since it uses less digits than its factorization.

428536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 428536 is about 654.6266111303. The cubic root of 428536 is about 75.3926665116.

The spelling of 428536 in words is "four hundred twenty-eight thousand, five hundred thirty-six".