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28191456 = 253367487
BaseRepresentation
bin110101110001…
…0101011100000
31222001021102000
41223202223200
524204111311
62444124000
7461423556
oct153425340
958037360
1028191456
1114a05727
129536600
135ac0a47
143a5bbd6
15271d056
hex1ae2ae0

28191456 has 96 divisors (see below), whose sum is σ = 83623680. Its totient is φ = 9237888.

The previous prime is 28191413. The next prime is 28191463. The reversal of 28191456 is 65419182.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28191456.

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, 57645 + ... + 58131.

It is an arithmetic number, because the mean of its divisors is an integer number (871080).

Almost surely, 228191456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28191456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41811840).

28191456 is an abundant number, since it is smaller than the sum of its proper divisors (55432224).

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

28191456 is a wasteful number, since it uses less digits than its factorization.

28191456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 559 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 28191456 is about 5309.5626938572. The cubic root of 28191456 is about 304.3494365937.

The spelling of 28191456 in words is "twenty-eight million, one hundred ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 201 216 268 288 402 432 487 536 603 804 864 974 1072 1206 1461 1608 1809 1948 2144 2412 2922 3216 3618 3896 4383 4824 5844 6432 7236 7792 8766 9648 11688 13149 14472 15584 17532 19296 23376 26298 28944 32629 35064 46752 52596 57888 65258 70128 97887 105192 130516 140256 195774 210384 261032 293661 391548 420768 522064 587322 783096 880983 1044128 1174644 1566192 1761966 2349288 3132384 3523932 4698576 7047864 9397152 14095728 28191456