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9728588070 = 2325234699801
BaseRepresentation
bin10010000111101111…
…00111100100100110
3221010000001110221200
421003313213210212
5124411004304240
64245205223330
7463040430345
oct110367474446
927100043850
109728588070
114142597233
121a76101b46
13bc06bbab6
146840b1b5c
153be149930
hex243de7926

9728588070 has 48 divisors (see below), whose sum is σ = 26394088032. Its totient is φ = 2481494400.

The previous prime is 9728588039. The next prime is 9728588083. The reversal of 9728588070 is 708858279.

It is a junction number, because it is equal to n+sod(n) for n = 9728587998 and 9728588016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2347831 + ... + 2351970.

It is an arithmetic number, because the mean of its divisors is an integer number (549876834).

Almost surely, 29728588070 is an apocalyptic number.

9728588070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9728588070 is an abundant number, since it is smaller than the sum of its proper divisors (16665499962).

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

9728588070 is a wasteful number, since it uses less digits than its factorization.

9728588070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699837 (or 4699834 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 9728588070 is about 98633.6051759237. The cubic root of 9728588070 is about 2134.7643336524.

The spelling of 9728588070 in words is "nine billion, seven hundred twenty-eight million, five hundred eighty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 4699801 9399602 14099403 23499005 28198806 42298209 46998010 70497015 84596418 108095423 140994030 211491045 216190846 324286269 422982090 540477115 648572538 972858807 1080954230 1621431345 1945717614 3242862690 4864294035 9728588070