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28456740 = 223251312161
BaseRepresentation
bin110110010001…
…1011100100100
31222112202022100
41230203130210
524241103430
62453532100
7463610154
oct154433444
958482270
1028456740
1115076a74
129644030
135b84710
143aca764
152771960
hex1b23724

28456740 has 72 divisors (see below), whose sum is σ = 92966328. Its totient is φ = 7004160.

The previous prime is 28456717. The next prime is 28456741. The reversal of 28456740 is 4765482.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 28451556 = 72^2 + 5334^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28456695 and 28456704.

It is not an unprimeable number, because it can be changed into a prime (28456741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3741 + ... + 8420.

It is an arithmetic number, because the mean of its divisors is an integer number (1291199).

Almost surely, 228456740 is an apocalyptic number.

28456740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28456740 is an abundant number, since it is smaller than the sum of its proper divisors (64509588).

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

28456740 is a wasteful number, since it uses less digits than its factorization.

28456740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12189 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 28456740 is about 5334.4859171245. The cubic root of 28456740 is about 305.3011090664.

The spelling of 28456740 in words is "twenty-eight million, four hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 12161 24322 36483 48644 60805 72966 109449 121610 145932 158093 182415 218898 243220 316186 364830 437796 474279 547245 632372 729660 790465 948558 1094490 1422837 1580930 1897116 2188980 2371395 2845674 3161860 4742790 5691348 7114185 9485580 14228370 28456740