2137928 has 32 divisors (see below), whose sum is σ = 4400760. Its totient is φ = 967680.

The previous prime is 2137921. The next prime is 2137931. The reversal of 2137928 is 8297312.

It can be written as a sum of positive squares in 4 ways, for example, as 605284 + 1532644 = 778^2 + 1238^2 .

It is a super-2 number, since 2×2137928² = 9141472266368, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2137894 and 2137903.

It is not an unprimeable number, because it can be changed into a prime (2137921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6176 + ... + 6512.

2^2137928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200380).

2137928 is an abundant number, since it is smaller than the sum of its proper divisors (2262832).

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

2137928 is a wasteful number, since it uses less digits than its factorization.

2137928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 2137928 is about 1462.1655173064. The cubic root of 2137928 is about 128.8242704671.

The spelling of 2137928 in words is "two million, one hundred thirty-seven thousand, nine hundred twenty-eight".