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28202320 = 2451789233
BaseRepresentation
bin110101110010…
…1010101010000
31222001211022101
41223211111100
524204433240
62444250144
7461500336
oct153452520
958054271
1028202320
1114a12903
129540954
135ac5983
143a61b56
15272139a
hex1ae5550

28202320 has 80 divisors (see below), whose sum is σ = 70508880. Its totient is φ = 10452992.

The previous prime is 28202299. The next prime is 28202329. The reversal of 28202320 is 2320282.

It can be written as a sum of positive squares in 8 ways, for example, as 1700416 + 26501904 = 1304^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28202329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120924 + ... + 121156.

It is an arithmetic number, because the mean of its divisors is an integer number (881361).

Almost surely, 228202320 is an apocalyptic number.

28202320 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 28202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35254440).

28202320 is an abundant number, since it is smaller than the sum of its proper divisors (42306560).

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

28202320 is a wasteful number, since it uses less digits than its factorization.

28202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 28202320 is about 5310.5856550855. The cubic root of 28202320 is about 304.3885267781.

The spelling of 28202320 in words is "twenty-eight million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 89 136 170 178 233 272 340 356 445 466 680 712 890 932 1165 1360 1424 1513 1780 1864 2330 3026 3560 3728 3961 4660 6052 7120 7565 7922 9320 12104 15130 15844 18640 19805 20737 24208 30260 31688 39610 41474 60520 63376 79220 82948 103685 121040 158440 165896 207370 316880 331792 352529 414740 705058 829480 1410116 1658960 1762645 2820232 3525290 5640464 7050580 14101160 28202320