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28713984 = 210313719
BaseRepresentation
bin110110110001…
…0010000000000
32000000211011220
41231202100000
524322321414
62503235040
7466031145
oct155422000
960024156
1028713984
1115232272
129748a80
135c44830
143b563cc
1527c2ca9
hex1b62400

28713984 has 88 divisors (see below), whose sum is σ = 82535040. Its totient is φ = 8822784.

The previous prime is 28713983. The next prime is 28713991. The reversal of 28713984 is 48931782.

It is not an unprimeable number, because it can be changed into a prime (28713983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39577 + ... + 40295.

Almost surely, 228713984 is an apocalyptic number.

28713984 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 28713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41267520).

28713984 is an abundant number, since it is smaller than the sum of its proper divisors (53821056).

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

28713984 is a wasteful number, since it uses less digits than its factorization.

28713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 737 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 28713984 is about 5358.5430855784. The cubic root of 28713984 is about 306.2183072021.

The spelling of 28713984 in words is "twenty-eight million, seven hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 719 768 832 1024 1248 1438 1536 1664 2157 2496 2876 3072 3328 4314 4992 5752 6656 8628 9347 9984 11504 13312 17256 18694 19968 23008 28041 34512 37388 39936 46016 56082 69024 74776 92032 112164 138048 149552 184064 224328 276096 299104 368128 448656 552192 598208 736256 897312 1104384 1196416 1794624 2208768 2392832 3589248 4785664 7178496 9571328 14356992 28713984