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28585440 = 2533513509
BaseRepresentation
bin110110100001…
…0110111100000
31222210021212000
41231002313200
524304213230
62500404000
7464654322
oct155026740
958707760
1028585440
1115154734
1296a6600
135bcb180
143b21612
152799b60
hex1b42de0

28585440 has 192 divisors, whose sum is σ = 107956800. Its totient is φ = 7022592.

The previous prime is 28585433. The next prime is 28585457. The reversal of 28585440 is 4458582.

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 = 28585395 and 28585404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55906 + ... + 56414.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 228585440 is an apocalyptic number.

28585440 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 28585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

28585440 is an abundant number, since it is smaller than the sum of its proper divisors (79371360).

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

28585440 is a wasteful number, since it uses less digits than its factorization.

28585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 28585440 is about 5346.5353267326. The cubic root of 28585440 is about 305.7606740766.

The spelling of 28585440 in words is "twenty-eight million, five hundred eighty-five thousand, four hundred forty".