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28945920 = 29353769
BaseRepresentation
bin110111001101…
…0111000000000
32000110121100010
41232122320000
524402232140
62512224520
7501015303
oct156327000
960417303
1028945920
1115380553
12983b140
135cc6283
143bb6b3a
15281b880
hex1b9ae00

28945920 has 80 divisors (see below), whose sum is σ = 92561040. Its totient is φ = 7716864.

The previous prime is 28945913. The next prime is 28945921. The reversal of 28945920 is 2954982.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28945921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5796 + ... + 9564.

It is an arithmetic number, because the mean of its divisors is an integer number (1157013).

Almost surely, 228945920 is an apocalyptic number.

28945920 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 28945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46280520).

28945920 is an abundant number, since it is smaller than the sum of its proper divisors (63615120).

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

28945920 is an equidigital number, since it uses as much as digits as its factorization.

28945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 28945920 is about 5380.1412620860. The cubic root of 28945920 is about 307.0405856927.

The spelling of 28945920 in words is "twenty-eight million, nine hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3769 3840 7538 7680 11307 15076 18845 22614 30152 37690 45228 56535 60304 75380 90456 113070 120608 150760 180912 226140 241216 301520 361824 452280 482432 603040 723648 904560 964864 1206080 1447296 1809120 1929728 2412160 2894592 3618240 4824320 5789184 7236480 9648640 14472960 28945920