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28335348 = 22321017793
BaseRepresentation
bin110110000010…
…1110011110100
31222022120210100
41230011303310
524223212343
62451154100
7462563226
oct154056364
958276710
1028335348
1114aa3848
1295a5930
135b413a2
143a98416
15274a9d3
hex1b05cf4

28335348 has 36 divisors (see below), whose sum is σ = 72343908. Its totient is φ = 9350400.

The previous prime is 28335341. The next prime is 28335361. The reversal of 28335348 is 84353382.

28335348 is a `hidden beast` number, since 283 + 35 + 348 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27436644 + 898704 = 5238^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×283353482 = 1605783892562208, which contains 22 as substring.

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 (28335341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261 + ... + 7532.

It is an arithmetic number, because the mean of its divisors is an integer number (2009553).

Almost surely, 228335348 is an apocalyptic number.

It is an amenable number.

28335348 is an abundant number, since it is smaller than the sum of its proper divisors (44008560).

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

28335348 is a wasteful number, since it uses less digits than its factorization.

28335348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904 (or 7899 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 28335348 is about 5323.0957158405. The cubic root of 28335348 is about 304.8663680472.

The spelling of 28335348 in words is "twenty-eight million, three hundred thirty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 7793 15586 23379 31172 46758 70137 93516 140274 280548 787093 1574186 2361279 3148372 4722558 7083837 9445116 14167674 28335348