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28055376 = 2433101643
BaseRepresentation
bin110101100000…
…1011101010000
31221210100202000
41223001131100
524140233001
62441154000
7460316046
oct153013520
957710660
1028055376
1114922468
12948b900
135a73b1b
143a24396
1526e2a86
hex1ac1750

28055376 has 80 divisors (see below), whose sum is σ = 81453120. Its totient is φ = 9244800.

The previous prime is 28055333. The next prime is 28055387. The reversal of 28055376 is 67355082.

28055376 is a `hidden beast` number, since 280 + 5 + 5 + 376 = 666.

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 28055376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43311 + ... + 43953.

It is an arithmetic number, because the mean of its divisors is an integer number (1018164).

Almost surely, 228055376 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 28055376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40726560).

28055376 is an abundant number, since it is smaller than the sum of its proper divisors (53397744).

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

28055376 is a wasteful number, since it uses less digits than its factorization.

28055376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 28055376 is about 5296.7325777313. The cubic root of 28055376 is about 303.8589488768.

The spelling of 28055376 in words is "twenty-eight million, fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 643 808 909 1212 1286 1616 1818 1929 2424 2572 2727 3636 3858 4848 5144 5454 5787 7272 7716 10288 10908 11574 14544 15432 17361 21816 23148 30864 34722 43632 46296 64943 69444 92592 129886 138888 194829 259772 277776 389658 519544 584487 779316 1039088 1168974 1558632 1753461 2337948 3117264 3506922 4675896 7013844 9351792 14027688 28055376