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5828880 = 2435149163
BaseRepresentation
bin10110001111000100010000
3101222010201110
4112033010100
52443011010
6324533320
7100354551
oct26170420
911863643
105828880
113321362
121b51240
131291155
14aba328
157a2120
hex58f110

5828880 has 80 divisors (see below), whose sum is σ = 18302400. Its totient is φ = 1534464.

The previous prime is 5828863. The next prime is 5828897. The reversal of 5828880 is 888285.

It is an interprime number because it is at equal distance from previous prime (5828863) and next prime (5828897).

It is a tau number, because it is divible by the number of its divisors (80).

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, 35679 + ... + 35841.

It is an arithmetic number, because the mean of its divisors is an integer number (228780).

Almost surely, 25828880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9151200).

5828880 is an abundant number, since it is smaller than the sum of its proper divisors (12473520).

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

5828880 is a wasteful number, since it uses less digits than its factorization.

5828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 5828880 is about 2414.3073540873. The cubic root of 5828880 is about 179.9678955088.

The spelling of 5828880 in words is "five million, eight hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 163 240 298 326 447 489 596 652 745 815 894 978 1192 1304 1490 1630 1788 1956 2235 2384 2445 2608 2980 3260 3576 3912 4470 4890 5960 6520 7152 7824 8940 9780 11920 13040 17880 19560 24287 35760 39120 48574 72861 97148 121435 145722 194296 242870 291444 364305 388592 485740 582888 728610 971480 1165776 1457220 1942960 2914440 5828880