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28548320 = 2551131579
BaseRepresentation
bin110110011100…
…1110011100000
31222201101221012
41230321303200
524302021240
62455520052
7464441153
oct154716340
958641835
1028548320
1115129859
129689028
135bb72c8
143b11c9a
15278db65
hex1b39ce0

28548320 has 48 divisors (see below), whose sum is σ = 68085360. Its totient is φ = 11311104.

The previous prime is 28548307. The next prime is 28548323. The reversal of 28548320 is 2384582.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28548323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17291 + ... + 18869.

It is an arithmetic number, because the mean of its divisors is an integer number (1418445).

Almost surely, 228548320 is an apocalyptic number.

28548320 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 28548320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34042680).

28548320 is an abundant number, since it is smaller than the sum of its proper divisors (39537040).

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

28548320 is a wasteful number, since it uses less digits than its factorization.

28548320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 28548320 is about 5343.0627920697. The cubic root of 28548320 is about 305.6282668955.

The spelling of 28548320 in words is "twenty-eight million, five hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1579 1808 2260 3158 3616 4520 6316 7895 9040 12632 15790 18080 25264 31580 50528 63160 126320 178427 252640 356854 713708 892135 1427416 1784270 2854832 3568540 5709664 7137080 14274160 28548320