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28472160 = 2535232579
BaseRepresentation
bin110110010011…
…1001101100000
31222120112110110
41230213031200
524242102120
62454131320
7464003133
oct154471540
958515413
1028472160
1115087612
129650b40
135b8b742
143ad221a
1527762e0
hex1b27360

28472160 has 96 divisors (see below), whose sum is σ = 93623040. Its totient is φ = 7259648.

The previous prime is 28472159. The next prime is 28472201. The reversal of 28472160 is 6127482.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9751 + ... + 12329.

It is an arithmetic number, because the mean of its divisors is an integer number (975240).

Almost surely, 228472160 is an apocalyptic number.

28472160 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 28472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46811520).

28472160 is an abundant number, since it is smaller than the sum of its proper divisors (65150880).

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

28472160 is a wasteful number, since it uses less digits than its factorization.

28472160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 28472160 is about 5335.9310340371. The cubic root of 28472160 is about 305.3562441360.

The spelling of 28472160 in words is "twenty-eight million, four hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2579 2760 3680 5158 5520 7737 10316 11040 12895 15474 20632 25790 30948 38685 41264 51580 59317 61896 77370 82528 103160 118634 123792 154740 177951 206320 237268 247584 296585 309480 355902 412640 474536 593170 618960 711804 889755 949072 1186340 1237920 1423608 1779510 1898144 2372680 2847216 3559020 4745360 5694432 7118040 9490720 14236080 28472160