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28917120 = 273515061
BaseRepresentation
bin110111001001…
…1110110000000
32000102010211110
41232103312000
524400321440
62511443320
7500535321
oct156236600
960363743
1028917120
1115360951
129826540
135cb612b
143baa448
152813080
hex1b93d80

28917120 has 64 divisors (see below), whose sum is σ = 92179440. Its totient is φ = 7710720.

The previous prime is 28917101. The next prime is 28917151. The reversal of 28917120 is 2171982.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5611 + ... + 9450.

Almost surely, 228917120 is an apocalyptic number.

28917120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28917120 is an abundant number, since it is smaller than the sum of its proper divisors (63262320).

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

28917120 is a wasteful number, since it uses less digits than its factorization.

28917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15083 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 28917120 is about 5377.4640863515. The cubic root of 28917120 is about 306.9387209830.

It can be divided in two parts, 2891 and 7120, that added together give a triangular number (10011 = T141).

The spelling of 28917120 in words is "twenty-eight million, nine hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 15061 30122 45183 60244 75305 90366 120488 150610 180732 225915 240976 301220 361464 451830 481952 602440 722928 903660 963904 1204880 1445856 1807320 1927808 2409760 2891712 3614640 4819520 5783424 7229280 9639040 14458560 28917120