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28202148 = 22331353379
BaseRepresentation
bin110101110010…
…1010010100100
31222001211002000
41223211102210
524204432043
62444245300
7461500002
oct153452244
958054060
1028202148
1114a12767
129540830
135ac5880
143a61a72
1527212d3
hex1ae54a4

28202148 has 96 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 8491392.

The previous prime is 28202143. The next prime is 28202159. The reversal of 28202148 is 84120282.

It is a super-2 number, since 2×282021482 = 1590722303627808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28202143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74223 + ... + 74601.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 228202148 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 28202148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

28202148 is an abundant number, since it is smaller than the sum of its proper divisors (52236252).

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

28202148 is a wasteful number, since it uses less digits than its factorization.

28202148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 28202148 is about 5310.5694609900. The cubic root of 28202148 is about 304.3879079763.

The spelling of 28202148 in words is "twenty-eight million, two hundred two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 106 108 117 156 159 212 234 318 351 379 468 477 636 689 702 758 954 1137 1378 1404 1431 1516 1908 2067 2274 2756 2862 3411 4134 4548 4927 5724 6201 6822 8268 9854 10233 12402 13644 14781 18603 19708 20087 20466 24804 29562 37206 40174 40932 44343 59124 60261 74412 80348 88686 120522 133029 177372 180783 241044 261131 266058 361566 522262 532116 542349 723132 783393 1044524 1084698 1566786 2169396 2350179 3133572 4700358 7050537 9400716 14101074 28202148