Search a number
-
+
28344211875 = 335471973173
BaseRepresentation
bin11010011001011100…
…100101100110100011
32201011100122011002000
4122121130211212203
5431022104240000
621004322455043
72022252553140
oct323134454643
981140564060
1028344211875
11110256289a1
1255b0504483
132899328505
14152c5913c7
15b0d5aa000
hex6997259a3

28344211875 has 320 divisors, whose sum is σ = 64359398400. Its totient is φ = 12037248000.

The previous prime is 28344211853. The next prime is 28344211919. The reversal of 28344211875 is 57811244382.

28344211875 is a `hidden beast` number, since 28 + 3 + 442 + 1 + 187 + 5 = 666.

It is not a de Polignac number, because 28344211875 - 27 = 28344211747 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (430080) is a multiple of the sum of its prime divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 28344211875.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 163839289 + ... + 163839461.

It is an arithmetic number, because the mean of its divisors is an integer number (201123120).

Almost surely, 228344211875 is an apocalyptic number.

28344211875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28344211875 is an abundant number, since it is smaller than the sum of its proper divisors (36015186525).

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

28344211875 is a wasteful number, since it uses less digits than its factorization.

28344211875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 28344211875 in words is "twenty-eight billion, three hundred forty-four million, two hundred eleven thousand, eight hundred seventy-five".