2142728 has 32 divisors (see below), whose sum is σ = 4656960. Its totient is φ = 905280.

The previous prime is 2142719. The next prime is 2142739. The reversal of 2142728 is 8272412.

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

It is a d-powerful number, because it can be written as 2¹³ + 1 + 4⁶ + 2¹⁵ + 7 + 2²¹ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 2142697 and 2142706.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4418 + ... + 4878.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

2^2142728 is an apocalyptic number.

2142728 is a gapful number since it is divisible by the number (28) 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 2142728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328480).

2142728 is an abundant number, since it is smaller than the sum of its proper divisors (2514232).

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

2142728 is a wasteful number, since it uses less digits than its factorization.

2142728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 2142728 is about 1463.8059980749. The cubic root of 2142728 is about 128.9206089631.

The spelling of 2142728 in words is "two million, one hundred forty-two thousand, seven hundred twenty-eight".