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28232320 = 275311423
BaseRepresentation
bin110101110110…
…0101010000000
31222010100110111
41223230222000
524211413240
62445041104
7461653654
oct153545200
958110414
1028232320
1114a333a6
129556194
135b0651c
143a6ca64
15272a1ea
hex1aeca80

28232320 has 64 divisors (see below), whose sum is σ = 69719040. Its totient is φ = 10920960.

The previous prime is 28232317. The next prime is 28232327. The reversal of 28232320 is 2323282.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 28232291 and 28232300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28232327) 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, 19129 + ... + 20551.

It is an arithmetic number, because the mean of its divisors is an integer number (1089360).

Almost surely, 228232320 is an apocalyptic number.

28232320 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 28232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34859520).

28232320 is an abundant number, since it is smaller than the sum of its proper divisors (41486720).

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

28232320 is a wasteful number, since it uses less digits than its factorization.

28232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 28232320 is about 5313.4094515669. The cubic root of 28232320 is about 304.4964188452.

The spelling of 28232320 in words is "twenty-eight million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1423 1984 2480 2846 3968 4960 5692 7115 9920 11384 14230 19840 22768 28460 44113 45536 56920 88226 91072 113840 176452 182144 220565 227680 352904 441130 455360 705808 882260 910720 1411616 1764520 2823232 3529040 5646464 7058080 14116160 28232320