2738628 has 36 divisors (see below), whose sum is σ = 6988800. Its totient is φ = 904176.

The previous prime is 2738623. The next prime is 2738639. The reversal of 2738628 is 8268372.

It is a happy number.

2738628 is a `hidden beast` number, since 27 + 3 + 8 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 2¹² + 7² + 3⁷ + 8 + 6⁸ + 2²⁰ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 2738592 and 2738601.

It is not an unprimeable number, because it can be changed into a prime (2738621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4273 + ... + 4871.

2^2738628 is an apocalyptic number.

It is an amenable number.

2738628 is an abundant number, since it is smaller than the sum of its proper divisors (4250172).

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

2738628 is a wasteful number, since it uses less digits than its factorization.

2738628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 731 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2738628 is about 1654.8800560766. The cubic root of 2738628 is about 139.9085797712.

The spelling of 2738628 in words is "two million, seven hundred thirty-eight thousand, six hundred twenty-eight".