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28468500 = 2235318979
BaseRepresentation
bin110110010011…
…0010100010100
31222120100102220
41230212110110
524241443000
62454102340
7463656354
oct154462424
958510386
1028468500
1115084895
12964a9b0
135b89b88
143ad0b64
1527751a0
hex1b26514

28468500 has 48 divisors (see below), whose sum is σ = 82904640. Its totient is φ = 7591200.

The previous prime is 28468493. The next prime is 28468507. The reversal of 28468500 is 586482.

It is an interprime number because it is at equal distance from previous prime (28468493) and next prime (28468507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28468507) 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, 7990 + ... + 10989.

It is an arithmetic number, because the mean of its divisors is an integer number (1727180).

Almost surely, 228468500 is an apocalyptic number.

28468500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28468500 is an abundant number, since it is smaller than the sum of its proper divisors (54436140).

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

28468500 is a wasteful number, since it uses less digits than its factorization.

28468500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19001 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 28468500 is about 5335.5880650590. The cubic root of 28468500 is about 305.3431594040.

The spelling of 28468500 in words is "twenty-eight million, four hundred sixty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 18979 37958 56937 75916 94895 113874 189790 227748 284685 379580 474475 569370 948950 1138740 1423425 1897900 2372375 2846850 4744750 5693700 7117125 9489500 14234250 28468500