2938628 has 72 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 1081920.

The previous prime is 2938627. The next prime is 2938667. The reversal of 2938628 is 8268392.

It is a happy number.

It is a d-powerful number, because it can be written as 2¹⁹ + 9 + 3¹¹ + 8³ + 6⁸ + 2¹⁹ + 8⁵ .

Its product of digits (41472) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2938591 and 2938600.

It is not an unprimeable number, because it can be changed into a prime (2938627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62501 + ... + 62547.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

2^2938628 is an apocalyptic number.

2938628 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 2938628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2938628 is an abundant number, since it is smaller than the sum of its proper divisors (3956092).

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

2938628 is a wasteful number, since it uses less digits than its factorization.

2938628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 2938628 is about 1714.2426899363. The cubic root of 2938628 is about 143.2346872474.

The spelling of 2938628 in words is "two million, nine hundred thirty-eight thousand, six hundred twenty-eight".