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28606560 = 253561977
BaseRepresentation
bin110110100100…
…0000001100000
31222211100211020
41231020001200
524310402220
62501045440
7465103023
oct155100140
958740736
1028606560
1115169594
1296b6880
135c07978
143b291ba
1527a1040
hex1b48060

28606560 has 96 divisors (see below), whose sum is σ = 91681632. Its totient is φ = 7495680.

The previous prime is 28606553. The next prime is 28606573. The reversal of 28606560 is 6560682.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28792 + ... + 29768.

It is an arithmetic number, because the mean of its divisors is an integer number (955017).

Almost surely, 228606560 is an apocalyptic number.

28606560 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 28606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45840816).

28606560 is an abundant number, since it is smaller than the sum of its proper divisors (63075072).

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

28606560 is a wasteful number, since it uses less digits than its factorization.

28606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 28606560 is about 5348.5100729082. The cubic root of 28606560 is about 305.8359580405.

The spelling of 28606560 in words is "twenty-eight million, six hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 977 1220 1464 1830 1952 1954 2440 2928 2931 3660 3908 4880 4885 5856 5862 7320 7816 9760 9770 11724 14640 14655 15632 19540 23448 29280 29310 31264 39080 46896 58620 59597 78160 93792 117240 119194 156320 178791 234480 238388 297985 357582 468960 476776 595970 715164 893955 953552 1191940 1430328 1787910 1907104 2383880 2860656 3575820 4767760 5721312 7151640 9535520 14303280 28606560