Search a number
-
+
28252368 = 2433173847
BaseRepresentation
bin110101111000…
…1100011010000
31222011100222000
41223301203100
524213033433
62445314000
7462066264
oct153614320
958140860
1028252368
1114a47471
129565900
135b126a1
143a760a4
152731113
hex1af18d0

28252368 has 80 divisors (see below), whose sum is σ = 85887360. Its totient is φ = 8861184.

The previous prime is 28252363. The next prime is 28252369. The reversal of 28252368 is 86325282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28252363) 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, 5421 + ... + 9267.

It is an arithmetic number, because the mean of its divisors is an integer number (1073592).

Almost surely, 228252368 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 28252368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42943680).

28252368 is an abundant number, since it is smaller than the sum of its proper divisors (57634992).

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

28252368 is a wasteful number, since it uses less digits than its factorization.

28252368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3869 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 28252368 is about 5315.2956644010. The cubic root of 28252368 is about 304.5684769192.

It can be divided in two parts, 282 and 52368, that added together give a triangular number (52650 = T324).

The spelling of 28252368 in words is "twenty-eight million, two hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 3847 7344 7694 11541 15388 23082 30776 34623 46164 61552 65399 69246 92328 103869 130798 138492 184656 196197 207738 261596 276984 392394 415476 523192 553968 588591 784788 830952 1046384 1177182 1569576 1661904 1765773 2354364 3139152 3531546 4708728 7063092 9417456 14126184 28252368