Search a number
-
+
28593760 = 2551359233
BaseRepresentation
bin110110100010…
…0111001100000
31222210201021011
41231010321200
524310000020
62500510304
7465020506
oct155047140
958721234
1028593760
111515aa08
1296ab394
135c01bb0
143b24676
15279c35a
hex1b44e60

28593760 has 96 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 10334208.

The previous prime is 28593743. The next prime is 28593767. The reversal of 28593760 is 6739582.

It is a super-2 number, since 2×285937602 = 1635206221875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28593767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122604 + ... + 122836.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 228593760 is an apocalyptic number.

28593760 is a gapful number since it is divisible by the number (20) 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 28593760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

28593760 is an abundant number, since it is smaller than the sum of its proper divisors (45705920).

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

28593760 is a wasteful number, since it uses less digits than its factorization.

28593760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 28593760 is about 5347.3133441009. The cubic root of 28593760 is about 305.7903358210.

The spelling of 28593760 in words is "twenty-eight million, five hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 65 80 104 118 130 160 208 233 236 260 295 416 466 472 520 590 767 932 944 1040 1165 1180 1534 1864 1888 2080 2330 2360 3029 3068 3728 3835 4660 4720 6058 6136 7456 7670 9320 9440 12116 12272 13747 15145 15340 18640 24232 24544 27494 30290 30680 37280 48464 54988 60580 61360 68735 96928 109976 121160 122720 137470 178711 219952 242320 274940 357422 439904 484640 549880 714844 893555 1099760 1429688 1787110 2199520 2859376 3574220 5718752 7148440 14296880 28593760