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28362720 = 2535371597
BaseRepresentation
bin110110000110…
…0011111100000
31222100222100010
41230030133200
524230101340
62451524520
7463036101
oct154143740
958328303
1028362720
1115012371
1295b9740
135b50999
143aa43a8
152753b80
hex1b0c7e0

28362720 has 96 divisors (see below), whose sum is σ = 91814688. Its totient is φ = 7354368.

The previous prime is 28362713. The next prime is 28362721. The reversal of 28362720 is 2726382.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28362721) 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, 16962 + ... + 18558.

It is an arithmetic number, because the mean of its divisors is an integer number (956403).

Almost surely, 228362720 is an apocalyptic number.

28362720 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 28362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45907344).

28362720 is an abundant number, since it is smaller than the sum of its proper divisors (63451968).

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

28362720 is a wasteful number, since it uses less digits than its factorization.

28362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 28362720 is about 5325.6661555152. Note that the first 3 decimals coincide. The cubic root of 28362720 is about 304.9645036178.

The spelling of 28362720 in words is "twenty-eight million, three hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1597 1776 2220 2960 3194 3552 4440 4791 5920 6388 7985 8880 9582 12776 15970 17760 19164 23955 25552 31940 38328 47910 51104 59089 63880 76656 95820 118178 127760 153312 177267 191640 236356 255520 295445 354534 383280 472712 590890 709068 766560 886335 945424 1181780 1418136 1772670 1890848 2363560 2836272 3545340 4727120 5672544 7090680 9454240 14181360 28362720