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28920000 = 26354241
BaseRepresentation
bin110111001010…
…0100011000000
32000102021210010
41232110203000
524400420000
62511504520
7500546604
oct156244300
960367703
1028920000
111536302a
129828140
135cb7535
143bab504
152813d50
hex1b948c0

28920000 has 140 divisors (see below), whose sum is σ = 96013016. Its totient is φ = 7680000.

The previous prime is 28919987. The next prime is 28920007. The reversal of 28920000 is 2982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28920007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119880 + ... + 120120.

Almost surely, 228920000 is an apocalyptic number.

28920000 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 28920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48006508).

28920000 is an abundant number, since it is smaller than the sum of its proper divisors (67093016).

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

28920000 is an equidigital number, since it uses as much as digits as its factorization.

28920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 28920000 is about 5377.7318638995. The cubic root of 28920000 is about 306.9489104967.

Adding to 28920000 its reverse (2982), we get a palindrome (28922982).

The spelling of 28920000 in words is "twenty-eight million, nine hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 241 250 300 320 375 400 480 482 500 600 625 723 750 800 960 964 1000 1200 1205 1250 1446 1500 1600 1875 1928 2000 2400 2410 2500 2892 3000 3615 3750 3856 4000 4800 4820 5000 5784 6000 6025 7230 7500 7712 8000 9640 10000 11568 12000 12050 14460 15000 15424 18075 19280 20000 23136 24000 24100 28920 30000 30125 36150 38560 40000 46272 48200 57840 60000 60250 72300 77120 90375 96400 115680 120000 120500 144600 150625 180750 192800 231360 241000 289200 301250 361500 385600 451875 482000 578400 602500 723000 903750 964000 1156800 1205000 1446000 1807500 1928000 2410000 2892000 3615000 4820000 5784000 7230000 9640000 14460000 28920000