Search a number
-
+
28646360 = 23517103409
BaseRepresentation
bin110110101000…
…1101111011000
31222220101102022
41231101233120
524313140420
62501554012
7465330041
oct155215730
958811368
1028646360
1115196486
129715908
135c1cb12
143b398c8
1527acc25
hex1b51bd8

28646360 has 64 divisors (see below), whose sum is σ = 69076800. Its totient is φ = 10653696.

The previous prime is 28646347. The next prime is 28646363. The reversal of 28646360 is 6364682.

It is a super-2 number, since 2×286463602 = 1641227882499200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28646360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28646363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69836 + ... + 70244.

It is an arithmetic number, because the mean of its divisors is an integer number (1079325).

Almost surely, 228646360 is an apocalyptic number.

28646360 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 28646360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34538400).

28646360 is an abundant number, since it is smaller than the sum of its proper divisors (40430440).

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

28646360 is a wasteful number, since it uses less digits than its factorization.

28646360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 28646360 is about 5352.2294420176. The cubic root of 28646360 is about 305.9777277423.

The spelling of 28646360 in words is "twenty-eight million, six hundred forty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 103 136 170 206 340 409 412 515 680 818 824 1030 1636 1751 2045 2060 3272 3502 4090 4120 6953 7004 8180 8755 13906 14008 16360 17510 27812 34765 35020 42127 55624 69530 70040 84254 139060 168508 210635 278120 337016 421270 716159 842540 1432318 1685080 2864636 3580795 5729272 7161590 14323180 28646360