Search a number
-
+
28600476960 = 2535115999043
BaseRepresentation
bin11010101000101110…
…001010010100100000
32201211012211202200110
4122220232022110200
5432033210230320
621045555251320
72031514020516
oct325056122440
981735752613
1028600476960
1111147250720
1256622a9b40
13290a452763
14155461c4b6
15b25d2a5e0
hex6a8b8a520

28600476960 has 192 divisors, whose sum is σ = 98456601600. Its totient is φ = 6921108480.

The previous prime is 28600476923. The next prime is 28600476967. The reversal of 28600476960 is 6967400682.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (28600476967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3158199 + ... + 3167241.

It is an arithmetic number, because the mean of its divisors is an integer number (512794800).

Almost surely, 228600476960 is an apocalyptic number.

28600476960 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 28600476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49228300800).

28600476960 is an abundant number, since it is smaller than the sum of its proper divisors (69856124640).

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

28600476960 is a wasteful number, since it uses less digits than its factorization.

28600476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9671 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 28600476960 in words is "twenty-eight billion, six hundred million, four hundred seventy-six thousand, nine hundred sixty".