Search a number
-
+
28993884480 = 263251121929151
BaseRepresentation
bin11011000000001010…
…111001000101000000
32202211122002221100100
4123000022321011000
5433334413300410
621153011322400
72044331644311
oct330012710500
982748087310
1028993884480
1111329323600
125751bb0400
132970ac6482
141590988608
15b4a63a8c0
hex6c02b9140

28993884480 has 1008 divisors, whose sum is σ = 120155817600. Its totient is φ = 6386688000.

The previous prime is 28993884457. The next prime is 28993884503. The reversal of 28993884480 is 8448839982.

28993884480 is a `hidden beast` number, since 28 + 9 + 93 + 88 + 448 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28993884457) and next prime (28993884503).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 192012405 + ... + 192012555.

It is an arithmetic number, because the mean of its divisors is an integer number (119202200).

Almost surely, 228993884480 is an apocalyptic number.

28993884480 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 28993884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60077908800).

28993884480 is an abundant number, since it is smaller than the sum of its proper divisors (91161933120).

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

28993884480 is a wasteful number, since it uses less digits than its factorization.

28993884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 28993884480 in words is "twenty-eight billion, nine hundred ninety-three million, eight hundred eighty-four thousand, four hundred eighty".