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28975920 = 2435157769
BaseRepresentation
bin110111010001…
…0001100110000
32000112010111020
41232202030300
524404212140
62513015440
7501201621
oct156421460
960463436
1028975920
11153a1046
129854580
136006b1c
143bc3a48
1528256d0
hex1ba2330

28975920 has 80 divisors (see below), whose sum is σ = 90515040. Its totient is φ = 7667712.

The previous prime is 28975913. The next prime is 28975957. The reversal of 28975920 is 2957982.

It is a tau number, because it is divible by the number of its divisors (80).

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, 37296 + ... + 38064.

It is an arithmetic number, because the mean of its divisors is an integer number (1131438).

Almost surely, 228975920 is an apocalyptic number.

28975920 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 28975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45257520).

28975920 is an abundant number, since it is smaller than the sum of its proper divisors (61539120).

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

28975920 is a wasteful number, since it uses less digits than its factorization.

28975920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 28975920 is about 5382.9285709547. The cubic root of 28975920 is about 307.1466229418.

The spelling of 28975920 in words is "twenty-eight million, nine hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 769 785 942 1256 1538 1570 1884 2307 2355 2512 3076 3140 3768 3845 4614 4710 6152 6280 7536 7690 9228 9420 11535 12304 12560 15380 18456 18840 23070 30760 36912 37680 46140 61520 92280 120733 184560 241466 362199 482932 603665 724398 965864 1207330 1448796 1810995 1931728 2414660 2897592 3621990 4829320 5795184 7243980 9658640 14487960 28975920