431028216 has 160 divisors (see below), whose sum is σ = 1277760000. Its totient is φ = 135535680.

The previous prime is 431028209. The next prime is 431028239. The reversal of 431028216 is 612820134.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 431028216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 863535 + ... + 864033.

It is an arithmetic number, because the mean of its divisors is an integer number (7986000).

Almost surely, 2^431028216 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 431028216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638880000).

431028216 is an abundant number, since it is smaller than the sum of its proper divisors (846731784).

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

431028216 is a wasteful number, since it uses less digits than its factorization.

431028216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 431028216 is about 20761.2190393532. The cubic root of 431028216 is about 755.3853658902.

The spelling of 431028216 in words is "four hundred thirty-one million, twenty-eight thousand, two hundred sixteen".