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28508682240 = 2113751967
BaseRepresentation
bin11010100011001111…
…111111100000000000
32201120211010010000000
4122203033333200000
5431341210312430
621032520000000
72026320541443
oct324317774000
981524103000
1028508682240
11110aa453a15
125637600000
1328c442295c
14154636565a
15b1cc46e60
hex6a33ff800

28508682240 has 768 divisors, whose sum is σ = 109601856000. Its totient is φ = 7094697984.

The previous prime is 28508682239. The next prime is 28508682247. The reversal of 28508682240 is 4228680582.

28508682240 is a `hidden beast` number, since 28 + 508 + 6 + 82 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×285086822402 (a number of 22 digits) contains 22 as substring.

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 (28508682247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425502687 + ... + 425502753.

It is an arithmetic number, because the mean of its divisors is an integer number (142710750).

Almost surely, 228508682240 is an apocalyptic number.

28508682240 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 28508682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800928000).

28508682240 is an abundant number, since it is smaller than the sum of its proper divisors (81093173760).

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

28508682240 is an frugal number, since it uses more digits than its factorization.

28508682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 28508682240 in words is "twenty-eight billion, five hundred eight million, six hundred eighty-two thousand, two hundred forty".