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28295717040 = 2435541131271
BaseRepresentation
bin11010010110100011…
…100110000010110000
32201000222101100200000
4122112203212002300
5430422200421130
620555431230000
72021123424603
oct322643460260
981028340600
1028295717040
1111000216018
125598218300
13288c279246
141525d6a33a
15b091cb260
hex6968e60b0

28295717040 has 480 divisors, whose sum is σ = 102095465472. Its totient is φ = 7278336000.

The previous prime is 28295717039. The next prime is 28295717053. The reversal of 28295717040 is 4071759282.

It is a happy number.

28295717040 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 571 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104412105 + ... + 104412375.

Almost surely, 228295717040 is an apocalyptic number.

28295717040 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 28295717040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51047732736).

28295717040 is an abundant number, since it is smaller than the sum of its proper divisors (73799748432).

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

28295717040 is a wasteful number, since it uses less digits than its factorization.

28295717040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 28295717040 in words is "twenty-eight billion, two hundred ninety-five million, seven hundred seventeen thousand, forty".