Search a number
-
+
28827657540 = 22335115578713
BaseRepresentation
bin11010110110010000…
…110010010101000100
32202102001022201212000
4122312100302111010
5433014340020130
621124312425300
72040243021543
oct326620622504
982361281760
1028827657540
1111253508870
1257063a8230
132945535636
14157687815a
15b3ac53260
hex6b6432544

28827657540 has 192 divisors, whose sum is σ = 98026225920. Its totient is φ = 6975175680.

The previous prime is 28827657533. The next prime is 28827657541. The reversal of 28827657540 is 4575672882.

28827657540 is a `hidden beast` number, since 2 + 8 + 8 + 27 + 6 + 575 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28827657541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3304224 + ... + 3312936.

It is an arithmetic number, because the mean of its divisors is an integer number (510553260).

Almost surely, 228827657540 is an apocalyptic number.

28827657540 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 28827657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49013112960).

28827657540 is an abundant number, since it is smaller than the sum of its proper divisors (69198568380).

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

28827657540 is a wasteful number, since it uses less digits than its factorization.

28827657540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9291 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 28827657540 in words is "twenty-eight billion, eight hundred twenty-seven million, six hundred fifty-seven thousand, five hundred forty".