Search a number
-
+
28629054720 = 283857487
BaseRepresentation
bin11010101010011011…
…001011010100000000
32201220012121200000000
4122222123023110000
5432113014222340
621052500000000
72032311643560
oct325233132400
981805550000
1028629054720
111116139a602
12566b990000
13291334a286
14155833ada0
15b285c2d30
hex6aa6cb500

28629054720 has 648 divisors, whose sum is σ = 117793463424. Its totient is φ = 6530347008.

The previous prime is 28629054709. The next prime is 28629054757. The reversal of 28629054720 is 2745092682.

28629054720 is a `hidden beast` number, since 2 + 86 + 2 + 9 + 0 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 58786317 + ... + 58786803.

Almost surely, 228629054720 is an apocalyptic number.

28629054720 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 28629054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58896731712).

28629054720 is an abundant number, since it is smaller than the sum of its proper divisors (89164408704).

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

28629054720 is an frugal number, since it uses more digits than its factorization.

28629054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28629054720 in words is "twenty-eight billion, six hundred twenty-nine million, fifty-four thousand, seven hundred twenty".