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28005144 = 2337391579
BaseRepresentation
bin110101011010…
…1001100011000
31221200210211120
41222311030120
524132131034
62440125240
7460016436
oct152651430
957623746
1028005144
1114898752
129466820
135a56cbb
143a0dd56
1526d2c49
hex1ab5318

28005144 has 32 divisors (see below), whose sum is σ = 70152000. Its totient is φ = 9316512.

The previous prime is 28005139. The next prime is 28005149. The reversal of 28005144 is 44150082.

It is an interprime number because it is at equal distance from previous prime (28005139) and next prime (28005149).

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 (28005149) 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, 16947 + ... + 18525.

It is an arithmetic number, because the mean of its divisors is an integer number (2192250).

Almost surely, 228005144 is an apocalyptic number.

28005144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28005144 is an abundant number, since it is smaller than the sum of its proper divisors (42146856).

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

28005144 is a wasteful number, since it uses less digits than its factorization.

28005144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 28005144 is about 5291.9886621194. The cubic root of 28005144 is about 303.6774915414.

The spelling of 28005144 in words is "twenty-eight million, five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 739 1478 1579 2217 2956 3158 4434 4737 5912 6316 8868 9474 12632 17736 18948 37896 1166881 2333762 3500643 4667524 7001286 9335048 14002572 28005144