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28612320 = 2535115419
BaseRepresentation
bin110110100100…
…1011011100000
31222211122201120
41231021123200
524311043240
62501132240
7465125562
oct155113340
958748646
1028612320
1115172950
1296ba080
135c0a489
143b2b332
1527a2ad0
hex1b496e0

28612320 has 96 divisors (see below), whose sum is σ = 98340480. Its totient is φ = 6935040.

The previous prime is 28612319. The next prime is 28612333. The reversal of 28612320 is 2321682.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2571 + ... + 7989.

It is an arithmetic number, because the mean of its divisors is an integer number (1024380).

Almost surely, 228612320 is an apocalyptic number.

28612320 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 28612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49170240).

28612320 is an abundant number, since it is smaller than the sum of its proper divisors (69728160).

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

28612320 is a wasteful number, since it uses less digits than its factorization.

28612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 28612320 is about 5349.0485135209. The cubic root of 28612320 is about 305.8564835994.

The spelling of 28612320 in words is "twenty-eight million, six hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 5419 10838 16257 21676 27095 32514 43352 54190 59609 65028 81285 86704 108380 119218 130056 162570 173408 178827 216760 238436 260112 298045 325140 357654 433520 476872 520224 596090 650280 715308 867040 894135 953744 1192180 1300560 1430616 1788270 1907488 2384360 2601120 2861232 3576540 4768720 5722464 7153080 9537440 14306160 28612320