Search a number
-
+
28713573504 = 27327211131353
BaseRepresentation
bin11010101111011101…
…100101110010000000
32202010002122122222100
4122233131211302000
5432301133323004
621105115310400
72034356230200
oct325735456200
982102578870
1028713573504
11111a5077840
12569414b400
132927a003a5
14156565c400
15b30c1a739
hex6af765c80

28713573504 has 576 divisors, whose sum is σ = 105953870880. Its totient is φ = 7380172800.

The previous prime is 28713573491. The next prime is 28713573523. The reversal of 28713573504 is 40537531782.

28713573504 is a `hidden beast` number, since 2 + 8 + 7 + 135 + 7 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×287135735042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28713573504.

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, 81341392 + ... + 81341744.

Almost surely, 228713573504 is an apocalyptic number.

28713573504 is a gapful number since it is divisible by the number (24) 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 28713573504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52976935440).

28713573504 is an abundant number, since it is smaller than the sum of its proper divisors (77240297376).

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

28713573504 is a wasteful number, since it uses less digits than its factorization.

28713573504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 28713573504 in words is "twenty-eight billion, seven hundred thirteen million, five hundred seventy-three thousand, five hundred four".