2428272 has 160 divisors (see below), whose sum is σ = 8808960. Its totient is φ = 622080.

The previous prime is 2428267. The next prime is 2428291. The reversal of 2428272 is 2728242.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33228 + ... + 33300.

It is an arithmetic number, because the mean of its divisors is an integer number (55056).

2^2428272 is an apocalyptic number.

2428272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404480).

2428272 is an abundant number, since it is smaller than the sum of its proper divisors (6380688).

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

2428272 is a wasteful number, since it uses less digits than its factorization.

2428272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2428272 is about 1558.2913719841. The cubic root of 2428272 is about 134.4102670728.

The spelling of 2428272 in words is "two million, four hundred twenty-eight thousand, two hundred seventy-two".