Search a number
-
+
28810694640 = 24357213199947
BaseRepresentation
bin11010110101010000…
…000100111111110000
32202100212101221010110
4122311100010333300
5433001014212030
621122505101320
72036645602200
oct326520047760
982325357113
1028810694640
1111244982342
125700787840
132941b76710
141574500400
15b395021b0
hex6b5404ff0

28810694640 has 480 divisors, whose sum is σ = 112567795200. Its totient is φ = 6041806848.

The previous prime is 28810694639. The next prime is 28810694713. The reversal of 28810694640 is 4649601882.

It is a super-2 number, since 2×288106946402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28810694640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30422647 + ... + 30423593.

It is an arithmetic number, because the mean of its divisors is an integer number (234516240).

Almost surely, 228810694640 is an apocalyptic number.

28810694640 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 28810694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56283897600).

28810694640 is an abundant number, since it is smaller than the sum of its proper divisors (83757100560).

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

28810694640 is a wasteful number, since it uses less digits than its factorization.

28810694640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 28810694640 in words is "twenty-eight billion, eight hundred ten million, six hundred ninety-four thousand, six hundred forty".