Search a number
-
+
28112832 = 2634111729
BaseRepresentation
bin110101100111…
…1011111000000
31221220021120000
41223033133000
524144102312
62442320000
7460645416
oct153173700
957807500
1028112832
1114961650
1294b9000
135a94017
143a3b2b6
152704adc
hex1acf7c0

28112832 has 280 divisors, whose sum is σ = 99578160. Its totient is φ = 7741440.

The previous prime is 28112827. The next prime is 28112869. The reversal of 28112832 is 23821182.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 28112796 and 28112805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 969394 + ... + 969422.

Almost surely, 228112832 is an apocalyptic number.

28112832 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 28112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49789080).

28112832 is an abundant number, since it is smaller than the sum of its proper divisors (71465328).

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

28112832 is a wasteful number, since it uses less digits than its factorization.

28112832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 28112832 is about 5302.1535247482. The cubic root of 28112832 is about 304.0662367212.

The spelling of 28112832 in words is "twenty-eight million, one hundred twelve thousand, eight hundred thirty-two".