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28542720 = 28357433
BaseRepresentation
bin110110011100…
…0011100000000
31222201010020210
41230320130000
524301331340
62455434120
7464415633
oct154703400
958633223
1028542720
1115125628
129685940
135bb48ab
143b0dc1a
15278c180
hex1b38700

28542720 has 72 divisors (see below), whose sum is σ = 91170576. Its totient is φ = 7610368.

The previous prime is 28542713. The next prime is 28542727. The reversal of 28542720 is 2724582.

It is an interprime number because it is at equal distance from previous prime (28542713) and next prime (28542727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28542727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124 + ... + 7556.

It is an arithmetic number, because the mean of its divisors is an integer number (1266258).

Almost surely, 228542720 is an apocalyptic number.

28542720 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 28542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45585288).

28542720 is an abundant number, since it is smaller than the sum of its proper divisors (62627856).

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

28542720 is an equidigital number, since it uses as much as digits as its factorization.

28542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 28542720 is about 5342.5387223679. The cubic root of 28542720 is about 305.6082817123.

The spelling of 28542720 in words is "twenty-eight million, five hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 7433 14866 22299 29732 37165 44598 59464 74330 89196 111495 118928 148660 178392 222990 237856 297320 356784 445980 475712 594640 713568 891960 951424 1189280 1427136 1783920 1902848 2378560 2854272 3567840 4757120 5708544 7135680 9514240 14271360 28542720