Search a number
-
+
28801360 = 245751431
BaseRepresentation
bin110110111011…
…1100101010000
32000012021001001
41231313211100
524333120420
62505151344
7466543660
oct155674520
960167031
1028801360
1115291985
12978b554
135c75533
143b7a1a0
1527ddb0a
hex1b77950

28801360 has 40 divisors (see below), whose sum is σ = 76530816. Its totient is φ = 9874560.

The previous prime is 28801351. The next prime is 28801361. The reversal of 28801360 is 6310882.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28801361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25156 + ... + 26275.

Almost surely, 228801360 is an apocalyptic number.

28801360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28801360 is an abundant number, since it is smaller than the sum of its proper divisors (47729456).

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

28801360 is a wasteful number, since it uses less digits than its factorization.

28801360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51451 (or 51445 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 28801360 is about 5366.6898550224. The cubic root of 28801360 is about 306.5285977927.

It can be divided in two parts, 28801 and 360, that added together give a triangular number (29161 = T241).

The spelling of 28801360 in words is "twenty-eight million, eight hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 51431 102862 205724 257155 360017 411448 514310 720034 822896 1028620 1440068 1800085 2057240 2880136 3600170 4114480 5760272 7200340 14400680 28801360