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28573020 = 2233577559
BaseRepresentation
bin110110011111…
…1110101011100
31222202122211000
41230333311130
524303314040
62500230300
7464603160
oct154776534
958678730
1028573020
1115146373
12969b390
135bc5618
143b1aca0
152796130
hex1b3fd5c

28573020 has 96 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 6530112.

The previous prime is 28573009. The next prime is 28573031. The reversal of 28573020 is 2037582.

28573020 is a nontrivial binomial coefficient, being equal to C(7560, 2).

It is an interprime number because it is at equal distance from previous prime (28573009) and next prime (28573031).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1 + ... + 7559.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 228573020 is an apocalyptic number.

28573020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28573020 is the 7559-th triangular number and also the 3780-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28573020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

28573020 is an abundant number, since it is smaller than the sum of its proper divisors (73033380).

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

28573020 is a wasteful number, since it uses less digits than its factorization.

28573020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 28573020 is about 5345.3737006874. The cubic root of 28573020 is about 305.7163846563.

The spelling of 28573020 in words is "twenty-eight million, five hundred seventy-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 7559 15118 22677 30236 37795 45354 52913 68031 75590 90708 105826 113385 136062 151180 158739 204093 211652 226770 264565 272124 317478 340155 408186 453540 476217 529130 634956 680310 793695 816372 952434 1020465 1058260 1360620 1428651 1587390 1904868 2040930 2381085 2857302 3174780 4081860 4762170 5714604 7143255 9524340 14286510 28573020