Search a number
-
+
28573891622640 = 2433573133195701
BaseRepresentation
bin1100111111100111000001…
…01010001111011011110000
310202011122012122011222022000
412133303200222033123300
512221123312223411030
6140434355315214000
76006252446241000
oct637634052173360
9122148178158260
1028573891622640
1191171349a04a1
12325598a5a7300
1312c36777a70a0
1470adab518000
15348414a08860
hex19fce0a8f6f0

28573891622640 has 1280 divisors, whose sum is σ = 127594500096000. Its totient is φ = 5834239488000.

The previous prime is 28573891622599. The next prime is 28573891622789. The reversal of 28573891622640 is 4622619837582.

28573891622640 is a `hidden beast` number, since 2 + 8 + 57 + 389 + 162 + 2 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 298526790 + ... + 298622490.

It is an arithmetic number, because the mean of its divisors is an integer number (99683203200).

It is a 1-persistent number, because it is pandigital, but 2⋅28573891622640 = 57147783245280 is not.

Almost surely, 228573891622640 is an apocalyptic number.

28573891622640 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 28573891622640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63797250048000).

28573891622640 is an abundant number, since it is smaller than the sum of its proper divisors (99020608473360).

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

28573891622640 is a wasteful number, since it uses less digits than its factorization.

28573891622640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95788 (or 95762 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 28573891622640 in words is "twenty-eight trillion, five hundred seventy-three billion, eight hundred ninety-one million, six hundred twenty-two thousand, six hundred forty".