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28466240 = 265118087
BaseRepresentation
bin110110010010…
…1110001000000
31222120020100012
41230211301000
524241404430
62454044052
7463646645
oct154456100
958506305
1028466240
1115083120
129649628
135b88b3a
143acddcc
152774695
hex1b25c40

28466240 has 56 divisors (see below), whose sum is σ = 73956672. Its totient is φ = 10350080.

The previous prime is 28466239. The next prime is 28466267. The reversal of 28466240 is 4266482.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 28466197 and 28466206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524 + ... + 7563.

Almost surely, 228466240 is an apocalyptic number.

28466240 is a gapful number since it is divisible by the number (20) 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 28466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36978336).

28466240 is an abundant number, since it is smaller than the sum of its proper divisors (45490432).

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

28466240 is a wasteful number, since it uses less digits than its factorization.

28466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8115 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 28466240 is about 5335.3762753905. The cubic root of 28466240 is about 305.3350792007.

The spelling of 28466240 in words is "twenty-eight million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 8087 16174 32348 40435 64696 80870 88957 129392 161740 177914 258784 323480 355828 444785 517568 646960 711656 889570 1293920 1423312 1779140 2587840 2846624 3558280 5693248 7116560 14233120 28466240