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28296160 = 25517101103
BaseRepresentation
bin110101111110…
…0001111100000
31222020121000221
41223330033200
524220434120
62450252424
7462341044
oct153741740
958217027
1028296160
1114a77362
129587114
135b295b9
143a88024
15273e0aa
hex1afc3e0

28296160 has 96 divisors (see below), whose sum is σ = 72176832. Its totient is φ = 10444800.

The previous prime is 28296137. The next prime is 28296167. The reversal of 28296160 is 6169282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28296167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274669 + ... + 274771.

It is an arithmetic number, because the mean of its divisors is an integer number (751842).

Almost surely, 228296160 is an apocalyptic number.

28296160 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 28296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36088416).

28296160 is an abundant number, since it is smaller than the sum of its proper divisors (43880672).

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

28296160 is a wasteful number, since it uses less digits than its factorization.

28296160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 28296160 is about 5319.4135015056. The cubic root of 28296160 is about 304.7257590440.

The spelling of 28296160 in words is "twenty-eight million, two hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 101 103 136 160 170 202 206 272 340 404 412 505 515 544 680 808 824 1010 1030 1360 1616 1648 1717 1751 2020 2060 2720 3232 3296 3434 3502 4040 4120 6868 7004 8080 8240 8585 8755 10403 13736 14008 16160 16480 17170 17510 20806 27472 28016 34340 35020 41612 52015 54944 56032 68680 70040 83224 104030 137360 140080 166448 176851 208060 274720 280160 332896 353702 416120 707404 832240 884255 1414808 1664480 1768510 2829616 3537020 5659232 7074040 14148080 28296160