Search a number
-
+
28988437968 = 2432728758371
BaseRepresentation
bin11010111111110110…
…000111010111010000
32202211020212020010200
4122333312013113100
5433332020003333
621152254455200
72044234441260
oct327766072720
982736766120
1028988437968
1111326243556
125750204500
13296c93a399
14158dd6b7a0
15b49e11c13
hex6bfd875d0

28988437968 has 60 divisors (see below), whose sum is σ = 92716991328. Its totient is φ = 8282410560.

The previous prime is 28988437943. The next prime is 28988437979. The reversal of 28988437968 is 86973488982.

28988437968 is a `hidden beast` number, since 28 + 9 + 88 + 437 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28988437896 and 28988437905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14378178 + ... + 14380193.

Almost surely, 228988437968 is an apocalyptic number.

28988437968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28988437968 is an abundant number, since it is smaller than the sum of its proper divisors (63728553360).

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

28988437968 is a wasteful number, since it uses less digits than its factorization.

28988437968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28758392 (or 28758383 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 28988437968 in words is "twenty-eight billion, nine hundred eighty-eight million, four hundred thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 28758371 57516742 86275113 115033484 172550226 201308597 230066968 258825339 345100452 402617194 460133936 517650678 603925791 690200904 805234388 1035301356 1207851582 1380401808 1610468776 1811777373 2070602712 2415703164 3220937552 3623554746 4141205424 4831406328 7247109492 9662812656 14494218984 28988437968