Search a number
-
+
28720584 = 23323710781
BaseRepresentation
bin110110110001…
…1110111001000
32000001011020100
41231203313020
524323024314
62503325400
7466056324
oct155436710
960034210
1028720584
1115237222
129750860
135c47839
143b58984
1527c4c09
hex1b63dc8

28720584 has 48 divisors (see below), whose sum is σ = 79894620. Its totient is φ = 9313920.

The previous prime is 28720577. The next prime is 28720613. The reversal of 28720584 is 48502782.

It is a happy number.

28720584 is a `hidden beast` number, since 2 + 8 + 72 + 0 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28323684 + 396900 = 5322^2 + 630^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2727 + ... + 8054.

Almost surely, 228720584 is an apocalyptic number.

28720584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28720584 is an abundant number, since it is smaller than the sum of its proper divisors (51174036).

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

28720584 is a wasteful number, since it uses less digits than its factorization.

28720584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10830 (or 10823 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28720584 is about 5359.1588892288. The cubic root of 28720584 is about 306.2417671534.

The spelling of 28720584 in words is "twenty-eight million, seven hundred twenty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 10781 21562 32343 43124 64686 86248 97029 129372 194058 258744 388116 398897 776232 797794 1196691 1595588 2393382 3191176 3590073 4786764 7180146 9573528 14360292 28720584