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28852520 = 2354173241
BaseRepresentation
bin110111000010…
…0000100101000
32000021212012212
41232010010220
524341240040
62510224252
7500146064
oct156040450
960255185
1028852520
1115317364
1297b5088
135c928c8
143b90aa4
1527edd65
hex1b84128

28852520 has 64 divisors (see below), whose sum is σ = 67692240. Its totient is φ = 11059200.

The previous prime is 28852517. The next prime is 28852529. The reversal of 28852520 is 2525882.

28852520 = T151 + T152 + ... + T560.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9156676 + 19695844 = 3026^2 + 4438^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28852529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119600 + ... + 119840.

Almost surely, 228852520 is an apocalyptic number.

28852520 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 28852520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33846120).

28852520 is an abundant number, since it is smaller than the sum of its proper divisors (38839720).

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

28852520 is a wasteful number, since it uses less digits than its factorization.

28852520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 28852520 is about 5371.4541792703. The cubic root of 28852520 is about 306.7099865289.

The spelling of 28852520 in words is "twenty-eight million, eight hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 73 82 146 164 205 241 292 328 365 410 482 584 730 820 964 1205 1460 1640 1928 2410 2920 2993 4820 5986 9640 9881 11972 14965 17593 19762 23944 29930 35186 39524 49405 59860 70372 79048 87965 98810 119720 140744 175930 197620 351860 395240 703720 721313 1442626 2885252 3606565 5770504 7213130 14426260 28852520