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28335984 = 24331137139
BaseRepresentation
bin110110000010…
…1111101110000
31222022121122220
41230011331300
524223222414
62451201040
7462565125
oct154057560
958277586
1028335984
1114aa4276
1295a6180
135b41771
143a9874c
15274aca9
hex1b05f70

28335984 has 80 divisors (see below), whose sum is σ = 76661760. Its totient is φ = 9008640.

The previous prime is 28335949. The next prime is 28335997. The reversal of 28335984 is 48953382.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203787 + ... + 203925.

It is an arithmetic number, because the mean of its divisors is an integer number (958272).

Almost surely, 228335984 is an apocalyptic number.

28335984 is a gapful number since it is divisible by the number (24) 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 28335984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38330880).

28335984 is an abundant number, since it is smaller than the sum of its proper divisors (48325776).

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

28335984 is a wasteful number, since it uses less digits than its factorization.

28335984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 28335984 is about 5323.1554551788. The cubic root of 28335984 is about 304.8686489857.

The spelling of 28335984 in words is "twenty-eight million, three hundred thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 137 139 186 248 274 278 372 411 417 496 548 556 744 822 834 1096 1112 1488 1644 1668 2192 2224 3288 3336 4247 4309 6576 6672 8494 8618 12741 12927 16988 17236 19043 25482 25854 33976 34472 38086 50964 51708 57129 67952 68944 76172 101928 103416 114258 152344 203856 206832 228516 304688 457032 590333 914064 1180666 1770999 2361332 3541998 4722664 7083996 9445328 14167992 28335984