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7228728 = 2332137723
BaseRepresentation
bin11011100100110100111000
3111121020221200
4123210310320
53322304403
6414534200
7115305003
oct33446470
914536850
107228728
114098061
122507360
131661370
14d6253a
1597bca3
hex6e4d38

7228728 has 48 divisors (see below), whose sum is σ = 21086520. Its totient is φ = 2223936.

The previous prime is 7228717. The next prime is 7228729. The reversal of 7228728 is 8278227.

7228728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 75 + 214 + 219 + 86 + 76 + 222 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 7228692 and 7228701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7228729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2926 + ... + 4797.

Almost surely, 27228728 is an apocalyptic number.

7228728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7228728 is an abundant number, since it is smaller than the sum of its proper divisors (13857792).

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

7228728 is a wasteful number, since it uses less digits than its factorization.

7228728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7741 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 7228728 is about 2688.6293906003. The cubic root of 7228728 is about 193.3543562817.

The spelling of 7228728 in words is "seven million, two hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 7723 15446 23169 30892 46338 61784 69507 92676 100399 139014 185352 200798 278028 301197 401596 556056 602394 803192 903591 1204788 1807182 2409576 3614364 7228728