Search a number
-
+
28392264 = 23321792203
BaseRepresentation
bin110110001001…
…1101101001000
31222102110212100
41230103231020
524232023024
62452313400
7463221165
oct154235510
958373770
1028392264
111503258a
129612860
135b61274
143ab106c
15275c7c9
hex1b13b48

28392264 has 48 divisors (see below), whose sum is σ = 77360400. Its totient is φ = 9406944.

The previous prime is 28392263. The next prime is 28392269. The reversal of 28392264 is 46229382.

28392264 is a `hidden beast` number, since 2 + 8 + 392 + 264 = 666.

It is a super-2 number, since 2×283922642 = 1612241310091392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (28392263) 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, 11787 + ... + 13989.

It is an arithmetic number, because the mean of its divisors is an integer number (1611675).

Almost surely, 228392264 is an apocalyptic number.

28392264 is a gapful number since it is divisible by the number (24) 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 28392264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38680200).

28392264 is an abundant number, since it is smaller than the sum of its proper divisors (48968136).

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

28392264 is a wasteful number, since it uses less digits than its factorization.

28392264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2387 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 28392264 is about 5328.4391710894. The cubic root of 28392264 is about 305.0703555334.

The spelling of 28392264 in words is "twenty-eight million, three hundred ninety-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 358 537 716 1074 1432 1611 2148 2203 3222 4296 4406 6444 6609 8812 12888 13218 17624 19827 26436 39654 52872 79308 158616 394337 788674 1183011 1577348 2366022 3154696 3549033 4732044 7098066 9464088 14196132 28392264