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28466640 = 2434523191
BaseRepresentation
bin110110010010…
…1110111010000
31222120020220000
41230211313100
524241413030
62454050000
7463651056
oct154456720
958506800
1028466640
1115083454
129649900
135b89087
143ad01d6
152774860
hex1b25dd0

28466640 has 200 divisors, whose sum is σ = 103707648. Its totient is φ = 7223040.

The previous prime is 28466639. The next prime is 28466651. The reversal of 28466640 is 4666482.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 28466595 and 28466604.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 148945 + ... + 149135.

Almost surely, 228466640 is an apocalyptic number.

28466640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51853824).

28466640 is an abundant number, since it is smaller than the sum of its proper divisors (75241008).

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

28466640 is a wasteful number, since it uses less digits than its factorization.

28466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 28466640 is about 5335.4137608999. The cubic root of 28466640 is about 305.3365093564.

The spelling of 28466640 in words is "twenty-eight million, four hundred sixty-six thousand, six hundred forty".