Search a number
-
+
28662832 = 24111491093
BaseRepresentation
bin110110101010…
…1110000110000
31222221020000101
41231111300300
524314202312
62502202144
7465426052
oct155256060
958836011
1028662832
11151a78a0
129723354
135c27473
143b418d2
1527b2a57
hex1b55c30

28662832 has 40 divisors (see below), whose sum is σ = 61045200. Its totient is φ = 12929280.

The previous prime is 28662791. The next prime is 28662869. The reversal of 28662832 is 23826682.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28662791 and 28662800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25678 + ... + 26770.

It is an arithmetic number, because the mean of its divisors is an integer number (1526130).

Almost surely, 228662832 is an apocalyptic number.

28662832 is a gapful number since it is divisible by the number (22) 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 28662832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30522600).

28662832 is an abundant number, since it is smaller than the sum of its proper divisors (32382368).

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

28662832 is a wasteful number, since it uses less digits than its factorization.

28662832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1255 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 28662832 is about 5353.7680188817. The cubic root of 28662832 is about 306.0363634574.

The spelling of 28662832 in words is "twenty-eight million, six hundred sixty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 298 596 1093 1192 1639 2186 2384 3278 4372 6556 8744 12023 13112 17488 24046 26224 48092 96184 162857 192368 325714 651428 1302856 1791427 2605712 3582854 7165708 14331416 28662832