Search a number
-
+
28673334720 = 2633519229317
BaseRepresentation
bin11010101101000100…
…000101110111000000
32202000021221022202000
4122231010011313000
5432210333202340
621101121024000
72033360216022
oct325504056700
982007838660
1028673334720
1111184393848
125682785000
13291c581c64
141560186012
15b2c41cd30
hex6ad105dc0

28673334720 has 672 divisors, whose sum is σ = 110786875200. Its totient is φ = 6971940864.

The previous prime is 28673334719. The next prime is 28673334779. The reversal of 28673334720 is 2743337682.

28673334720 is a `hidden beast` number, since 2 + 86 + 73 + 33 + 472 + 0 = 666.

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

It is a congruent number.

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, 90452002 + ... + 90452318.

Almost surely, 228673334720 is an apocalyptic number.

28673334720 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 28673334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55393437600).

28673334720 is an abundant number, since it is smaller than the sum of its proper divisors (82113540480).

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

28673334720 is a wasteful number, since it uses less digits than its factorization.

28673334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 28673334720 in words is "twenty-eight billion, six hundred seventy-three million, three hundred thirty-four thousand, seven hundred twenty".