2269728 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 725760.

The previous prime is 2269711. The next prime is 2269733. The reversal of 2269728 is 8279622.

It is a tau number, because it is divible by the number of its divisors (96).

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 2¹⁷ + 2¹⁸ + 6³ + 9² + 7⁷ + 2²⁰ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 2269692 and 2269701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31933 + ... + 32003.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^2269728 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 2269728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2269728 is an abundant number, since it is smaller than the sum of its proper divisors (4624992).

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

2269728 is a wasteful number, since it uses less digits than its factorization.

2269728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2269728 is about 1506.5616482574. The cubic root of 2269728 is about 131.4189334907.

The spelling of 2269728 in words is "two million, two hundred sixty-nine thousand, seven hundred twenty-eight".