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28167040 = 275114001
BaseRepresentation
bin110101101110…
…0101110000000
31222000000220201
41223130232000
524202321130
62443414544
7461262436
oct153345600
958000821
1028167040
1114999350
129524454
135ab28b5
143a52d56
152715bca
hex1adcb80

28167040 has 64 divisors (see below), whose sum is σ = 73476720. Its totient is φ = 10240000.

The previous prime is 28166993. The next prime is 28167043. The reversal of 28167040 is 4076182.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28167043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5040 + ... + 9040.

Almost surely, 228167040 is an apocalyptic number.

28167040 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 28167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36738360).

28167040 is an abundant number, since it is smaller than the sum of its proper divisors (45309680).

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

28167040 is a wasteful number, since it uses less digits than its factorization.

28167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 28167040 is about 5307.2629480741. The cubic root of 28167040 is about 304.2615477649.

The spelling of 28167040 in words is "twenty-eight million, one hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 4001 7040 8002 16004 20005 32008 40010 44011 64016 80020 88022 128032 160040 176044 220055 256064 320080 352088 440110 512128 640160 704176 880220 1280320 1408352 1760440 2560640 2816704 3520880 5633408 7041760 14083520 28167040