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28215408 = 24313103439
BaseRepresentation
bin110101110100…
…0100001110000
31222002111021010
41223220201300
524210343113
62444430520
7461553444
oct153504160
958074233
1028215408
1114a21721
129548440
135acb910
143a66824
1527251c3
hex1ae8870

28215408 has 80 divisors (see below), whose sum is σ = 79439360. Its totient is φ = 8577792.

The previous prime is 28215401. The next prime is 28215409. The reversal of 28215408 is 80451282.

28215408 = T417 + T418 + ... + T622.

It is a super-2 number, since 2×282154082 = 1592218497212928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28215401) 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 15 ways as a sum of consecutive naturals, for example, 64053 + ... + 64491.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 228215408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28215408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39719680).

28215408 is an abundant number, since it is smaller than the sum of its proper divisors (51223952).

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

28215408 is a wasteful number, since it uses less digits than its factorization.

28215408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 28215408 is about 5311.8177679585. The cubic root of 28215408 is about 304.4356058946.

The spelling of 28215408 in words is "twenty-eight million, two hundred fifteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 412 439 618 624 824 878 1236 1317 1339 1648 1756 2472 2634 2678 3512 4017 4944 5268 5356 5707 7024 8034 10536 10712 11414 16068 17121 21072 21424 22828 32136 34242 45217 45656 64272 68484 90434 91312 135651 136968 180868 271302 273936 361736 542604 587821 723472 1085208 1175642 1763463 2170416 2351284 3526926 4702568 7053852 9405136 14107704 28215408