2265928 has 32 divisors (see below), whose sum is σ = 4973760. Its totient is φ = 947520.

The previous prime is 2265911. The next prime is 2265941. The reversal of 2265928 is 8295622.

It is a super-3 number, since 3×2265928³ = 34902744071833376256, which contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2 + 2³ + 6⁷ + 5⁹ + 9² + 2¹⁵ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 2265893 and 2265902.

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, 1938 + ... + 2878.

It is an arithmetic number, because the mean of its divisors is an integer number (155430).

2^2265928 is an apocalyptic number.

2265928 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 2265928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486880).

2265928 is an abundant number, since it is smaller than the sum of its proper divisors (2707832).

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

2265928 is a wasteful number, since it uses less digits than its factorization.

2265928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 2265928 is about 1505.2999701056. The cubic root of 2265928 is about 131.3455515844.

The spelling of 2265928 in words is "two million, two hundred sixty-five thousand, nine hundred twenty-eight".