Search a number
-
+
28386792 = 23327151373
BaseRepresentation
bin110110001001…
…0010111101000
31222102012100200
41230102113220
524231334132
62452232200
7463166220
oct154222750
958365320
1028386792
1115029465
12960b660
135b5b925
143aad080
15275ad7c
hex1b125e8

28386792 has 96 divisors (see below), whose sum is σ = 88682880. Its totient is φ = 8035200.

The previous prime is 28386791. The next prime is 28386823. The reversal of 28386792 is 29768382.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28386791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75918 + ... + 76290.

It is an arithmetic number, because the mean of its divisors is an integer number (923780).

Almost surely, 228386792 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 28386792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44341440).

28386792 is an abundant number, since it is smaller than the sum of its proper divisors (60296088).

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

28386792 is a wasteful number, since it uses less digits than its factorization.

28386792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 536 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 28386792 is about 5327.9256751573. The cubic root of 28386792 is about 305.0507556847.

The spelling of 28386792 in words is "twenty-eight million, three hundred eighty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 151 168 252 302 373 453 504 604 746 906 1057 1119 1208 1359 1492 1812 2114 2238 2611 2718 2984 3171 3357 3624 4228 4476 5222 5436 6342 6714 7833 8456 8952 9513 10444 10872 12684 13428 15666 19026 20888 23499 25368 26856 31332 38052 46998 56323 62664 76104 93996 112646 168969 187992 225292 337938 394261 450584 506907 675876 788522 1013814 1182783 1351752 1577044 2027628 2365566 3154088 3548349 4055256 4731132 7096698 9462264 14193396 28386792