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2428928 = 212593
BaseRepresentation
bin1001010001000000000000
311120101212022
421101000000
51110211203
6124021012
726434265
oct11210000
94511768
102428928
111409987
12991768
13670748
1447326c
1532ea38
hex251000

2428928 has 26 divisors (see below), whose sum is σ = 4865454. Its totient is φ = 1212416.

The previous prime is 2428919. The next prime is 2428931. The reversal of 2428928 is 8298242.

It can be written as a sum of positive squares in only one way, i.e., 2166784 + 262144 = 1472^2 + 512^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3800 + ... + 4392.

22428928 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 2428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432727).

2428928 is an abundant number, since it is smaller than the sum of its proper divisors (2436526).

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

2428928 is an frugal number, since it uses more digits than its factorization.

2428928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 595 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 2428928 is about 1558.5018447214. The cubic root of 2428928 is about 134.4223696704.

The spelling of 2428928 in words is "two million, four hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 593 1024 1186 2048 2372 4096 4744 9488 18976 37952 75904 151808 303616 607232 1214464 2428928