830428272 has 120 divisors (see below), whose sum is σ = 2366158080. Its totient is φ = 271848960.

The previous prime is 830428267. The next prime is 830428297. The reversal of 830428272 is 272824038.

830428272 is a `hidden beast` number, since 8 + 304 + 282 + 72 = 666.

It is a super-2 number, since 2×830428272² = 1379222229873811968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2997798 + ... + 2998074.

It is an arithmetic number, because the mean of its divisors is an integer number (19717984).

Almost surely, 2^830428272 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 830428272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183079040).

830428272 is an abundant number, since it is smaller than the sum of its proper divisors (1535729808).

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

830428272 is a wasteful number, since it uses less digits than its factorization.

830428272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 830428272 is about 28817.1523922819. The cubic root of 830428272 is about 939.9412487801.

The spelling of 830428272 in words is "eight hundred thirty million, four hundred twenty-eight thousand, two hundred seventy-two".