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28315219680 = 25335112192851
BaseRepresentation
bin11010010111101101…
…111111011011100000
32201002100002012021000
4122113231333123200
5430442144012210
621001405232000
72021451252606
oct322755773340
981070065230
1028315219680
1111010226700
1255a2862600
132893317177
1415287a5876
15b0ac7eac0
hex697b7f6e0

28315219680 has 576 divisors, whose sum is σ = 114705158400. Its totient is φ = 6500736000.

The previous prime is 28315219679. The next prime is 28315219687. The reversal of 28315219680 is 8691251382.

28315219680 is a `hidden beast` number, since 2 + 8 + 31 + 521 + 96 + 8 + 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 not an unprimeable number, because it can be changed into a prime (28315219687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9930255 + ... + 9933105.

It is an arithmetic number, because the mean of its divisors is an integer number (199140900).

Almost surely, 228315219680 is an apocalyptic number.

28315219680 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 28315219680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57352579200).

28315219680 is an abundant number, since it is smaller than the sum of its proper divisors (86389938720).

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

28315219680 is a wasteful number, since it uses less digits than its factorization.

28315219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 28315219680 in words is "twenty-eight billion, three hundred fifteen million, two hundred nineteen thousand, six hundred eighty".