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28000608 = 2531372129
BaseRepresentation
bin110101011010…
…0000101100000
31221200120121120
41222310011200
524132004413
62440052240
7460000266
oct152640540
957616546
1028000608
11148952a9
129464080
135a54c0c
143a0c436
1526d1723
hex1ab4160

28000608 has 48 divisors (see below), whose sum is σ = 74072880. Its totient is φ = 9261056.

The previous prime is 28000603. The next prime is 28000613. The reversal of 28000608 is 80600082.

It is an interprime number because it is at equal distance from previous prime (28000603) and next prime (28000613).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28000603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12088 + ... + 14216.

It is an arithmetic number, because the mean of its divisors is an integer number (1543185).

Almost surely, 228000608 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 28000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37036440).

28000608 is an abundant number, since it is smaller than the sum of its proper divisors (46072272).

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

28000608 is a wasteful number, since it uses less digits than its factorization.

28000608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28000608 is about 5291.5600724172. The cubic root of 28000608 is about 303.6610950837.

The spelling of 28000608 in words is "twenty-eight million, six hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2129 2192 3288 4258 4384 6387 6576 8516 12774 13152 17032 25548 34064 51096 68128 102192 204384 291673 583346 875019 1166692 1750038 2333384 3500076 4666768 7000152 9333536 14000304 28000608