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28986160 = 2457191271
BaseRepresentation
bin110111010010…
…0101100110000
32000112122112111
41232210230300
524410024120
62513135104
7501243520
oct156445460
960478474
1028986160
11153a8805
12985a494
13600b698
143bc7680
15282875a
hex1ba4b30

28986160 has 80 divisors (see below), whose sum is σ = 77709312. Its totient is φ = 9849600.

The previous prime is 28986151. The next prime is 28986211. The reversal of 28986160 is 6168982.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 106825 + ... + 107095.

Almost surely, 228986160 is an apocalyptic number.

28986160 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 28986160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38854656).

28986160 is an abundant number, since it is smaller than the sum of its proper divisors (48723152).

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

28986160 is a wasteful number, since it uses less digits than its factorization.

28986160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 28986160 is about 5383.8796420425. The cubic root of 28986160 is about 307.1828002342.

The spelling of 28986160 in words is "twenty-eight million, nine hundred eighty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 191 271 280 382 542 560 764 955 1084 1337 1355 1528 1897 1910 2168 2674 2710 3056 3794 3820 4336 5348 5420 6685 7588 7640 9485 10696 10840 13370 15176 15280 18970 21392 21680 26740 30352 37940 51761 53480 75880 103522 106960 151760 207044 258805 362327 414088 517610 724654 828176 1035220 1449308 1811635 2070440 2898616 3623270 4140880 5797232 7246540 14493080 28986160