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28971768 = 2337331521
BaseRepresentation
bin110111010000…
…1001011111000
32000111220210110
41232201023320
524404044033
62512544320
7501153540
oct156411370
960456713
1028971768
1115398a11
1298520a0
136004c77
143bc2320
152824363
hex1ba12f8

28971768 has 64 divisors (see below), whose sum is σ = 83185920. Its totient is φ = 8236800.

The previous prime is 28971739. The next prime is 28971779. The reversal of 28971768 is 86717982.

Its product of digits (338688) is a multiple of the sum of its prime divisors (864).

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, 55348 + ... + 55868.

It is an arithmetic number, because the mean of its divisors is an integer number (1299780).

Almost surely, 228971768 is an apocalyptic number.

28971768 is a gapful number since it is divisible by the number (28) 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 28971768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41592960).

28971768 is an abundant number, since it is smaller than the sum of its proper divisors (54214152).

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

28971768 is a wasteful number, since it uses less digits than its factorization.

28971768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 864 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 28971768 is about 5382.5428934659. The cubic root of 28971768 is about 307.1319517517.

The spelling of 28971768 in words is "twenty-eight million, nine hundred seventy-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 331 521 662 993 1042 1324 1563 1986 2084 2317 2648 3126 3647 3972 4168 4634 6252 6951 7294 7944 9268 10941 12504 13902 14588 18536 21882 27804 29176 43764 55608 87528 172451 344902 517353 689804 1034706 1207157 1379608 2069412 2414314 3621471 4138824 4828628 7242942 9657256 14485884 28971768