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28057316040 = 233251315139703
BaseRepresentation
bin11010001000010110…
…001010101011001000
32200102100210022222100
4122020112022223020
5424430133103130
620520033353400
72012200152135
oct321026125310
980370708870
1028057316040
11109986948a6
125530408860
132851a68170
14150242d58c
15ae32d8c60
hex68858aac8

28057316040 has 192 divisors, whose sum is σ = 98853431040. Its totient is φ = 6860505600.

The previous prime is 28057316039. The next prime is 28057316047. The reversal of 28057316040 is 4061375082.

28057316040 is a `hidden beast` number, since 2 + 80 + 573 + 1 + 6 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28057315986 and 28057316004.

It is not an unprimeable number, because it can be changed into a prime (28057316047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686829 + ... + 726531.

It is an arithmetic number, because the mean of its divisors is an integer number (514861620).

Almost surely, 228057316040 is an apocalyptic number.

28057316040 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 28057316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49426715520).

28057316040 is an abundant number, since it is smaller than the sum of its proper divisors (70796115000).

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

28057316040 is a wasteful number, since it uses less digits than its factorization.

28057316040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39884 (or 39877 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 28057316040 in words is "twenty-eight billion, fifty-seven million, three hundred sixteen thousand, forty".