Search a number
-
+
28718393760 = 25325717295779
BaseRepresentation
bin11010101111101111…
…111110100110100000
32202010102201120010100
4122233233332212200
5432303402100020
621105410502400
72034445214340
oct325757764640
982112646110
1028718393760
11111a786a321
125695894a00
1329289ca404
141566154d20
15b3136da90
hex6afbfe9a0

28718393760 has 576 divisors, whose sum is σ = 122700614400. Its totient is φ = 5964005376.

The previous prime is 28718393741. The next prime is 28718393807. The reversal of 28718393760 is 6739381782.

It is a super-2 number, since 2×287183937602 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28718393697 and 28718393706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4966551 + ... + 4972329.

It is an arithmetic number, because the mean of its divisors is an integer number (213021900).

Almost surely, 228718393760 is an apocalyptic number.

28718393760 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 28718393760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61350307200).

28718393760 is an abundant number, since it is smaller than the sum of its proper divisors (93982220640).

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

28718393760 is a wasteful number, since it uses less digits than its factorization.

28718393760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5853 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 28718393760 in words is "twenty-eight billion, seven hundred eighteen million, three hundred ninety-three thousand, seven hundred sixty".