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28673568 = 2533711431
BaseRepresentation
bin110110101100…
…0011000100000
31222221202202000
41231120120200
524320023233
62502324000
7465502260
oct155303040
958852660
1028673568
1115204970
129729600
135c2c311
143b457a0
1527b5d13
hex1b58620

28673568 has 192 divisors, whose sum is σ = 104509440. Its totient is φ = 7430400.

The previous prime is 28673549. The next prime is 28673573. The reversal of 28673568 is 86537682.

28673568 is a `hidden beast` number, since 2 + 86 + 7 + 3 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66313 + ... + 66743.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 228673568 is an apocalyptic number.

28673568 is a gapful number since it is divisible by the number (28) 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 28673568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

28673568 is an abundant number, since it is smaller than the sum of its proper divisors (75835872).

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

28673568 is a wasteful number, since it uses less digits than its factorization.

28673568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 28673568 is about 5354.7705833210. The cubic root of 28673568 is about 306.0745685245.

It can be divided in two parts, 28673 and 568, that added together give a square (29241 = 1712).

The spelling of 28673568 in words is "twenty-eight million, six hundred seventy-three thousand, five hundred sixty-eight".