2147628 has 48 divisors (see below), whose sum is σ = 5890304. Its totient is φ = 596160.

The previous prime is 2147623. The next prime is 2147633. The reversal of 2147628 is 8267412.

2147628 is a nontrivial binomial coefficient, being equal to C(2073, 2).

It is an interprime number because it is at equal distance from previous prime (2147623) and next prime (2147633).

It is a super-2 number, since 2×2147628² = 9224612052768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2147595 and 2147604.

It is not an unprimeable number, because it can be changed into a prime (2147623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2763 + ... + 3453.

2^2147628 is an apocalyptic number.

2147628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

2147628 is the 2072-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2147628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945152).

2147628 is an abundant number, since it is smaller than the sum of its proper divisors (3742676).

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

2147628 is a wasteful number, since it uses less digits than its factorization.

2147628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 740 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2147628 is about 1465.4787613609. The cubic root of 2147628 is about 129.0188062240.

It can be divided in two parts, 2147 and 628, that added together give a triangular number (2775 = T₇₄).

The spelling of 2147628 in words is "two million, one hundred forty-seven thousand, six hundred twenty-eight".