428272 has 40 divisors (see below), whose sum is σ = 937440. Its totient is φ = 188160.

The previous prime is 428251. The next prime is 428273. The reversal of 428272 is 272824.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428273) by changing a digit.

428272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5997 + ... + 6067.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁴²⁸²⁷² 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 428272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

428272 is an abundant number, since it is smaller than the sum of its proper divisors (509168).

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

428272 is a wasteful number, since it uses less digits than its factorization.

428272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 1792, while the sum is 25.

The square root of 428272 is about 654.4249384001. The cubic root of 428272 is about 75.3771814239.

The spelling of 428272 in words is "four hundred twenty-eight thousand, two hundred seventy-two".