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28808360 = 2357137751
BaseRepresentation
bin110110111100…
…1010010101000
32000012121122022
41231321102220
524333331420
62505244012
7466603250
oct155712250
960177568
1028808360
1115297169
129793608
135c78789
143b7c960
1527e0c25
hex1b794a8

28808360 has 64 divisors (see below), whose sum is σ = 74718720. Its totient is φ = 9792000.

The previous prime is 28808357. The next prime is 28808371. The reversal of 28808360 is 6380882.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 28808360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37985 + ... + 38735.

It is an arithmetic number, because the mean of its divisors is an integer number (1167480).

Almost surely, 228808360 is an apocalyptic number.

28808360 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 28808360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37359360).

28808360 is an abundant number, since it is smaller than the sum of its proper divisors (45910360).

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

28808360 is a wasteful number, since it uses less digits than its factorization.

28808360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 28808360 is about 5367.3419864957. The cubic root of 28808360 is about 306.5534291013.

The spelling of 28808360 in words is "twenty-eight million, eight hundred eight thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 548 685 751 959 1096 1370 1502 1918 2740 3004 3755 3836 4795 5257 5480 6008 7510 7672 9590 10514 15020 19180 21028 26285 30040 38360 42056 52570 102887 105140 205774 210280 411548 514435 720209 823096 1028870 1440418 2057740 2880836 3601045 4115480 5761672 7202090 14404180 28808360