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28789800 = 23352133691
BaseRepresentation
bin110110111010…
…0110000101000
32000011200011220
41231310300220
524332233200
62505022040
7466465164
oct155646050
960150156
1028789800
1115284226
129784920
135c701b0
143b75ca4
1527da4a0
hex1b74c28

28789800 has 96 divisors (see below), whose sum is σ = 96139680. Its totient is φ = 7084800.

The previous prime is 28789799. The next prime is 28789841. The reversal of 28789800 is 898782.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5955 + ... + 9645.

It is an arithmetic number, because the mean of its divisors is an integer number (1001455).

Almost surely, 228789800 is an apocalyptic number.

28789800 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 28789800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48069840).

28789800 is an abundant number, since it is smaller than the sum of its proper divisors (67349880).

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

28789800 is a wasteful number, since it uses less digits than its factorization.

28789800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 28789800 is about 5365.6127329505. The cubic root of 28789800 is about 306.4875818502.

The spelling of 28789800 in words is "twenty-eight million, seven hundred eighty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3691 3900 7382 7800 11073 14764 18455 22146 29528 36910 44292 47983 55365 73820 88584 92275 95966 110730 143949 147640 184550 191932 221460 239915 276825 287898 369100 383864 442920 479830 553650 575796 719745 738200 959660 1107300 1151592 1199575 1439490 1919320 2214600 2399150 2878980 3598725 4798300 5757960 7197450 9596600 14394900 28789800