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28130144 = 257314051
BaseRepresentation
bin110101101001…
…1101101100000
31221221011022012
41223103231200
524200131034
62442532052
7461050040
oct153235540
957834265
1028130144
1114973659
129507028
135a9bb73
143a43720
152709cce
hex1ad3b60

28130144 has 48 divisors (see below), whose sum is σ = 65350656. Its totient is φ = 11664000.

The previous prime is 28130143. The next prime is 28130149. The reversal of 28130144 is 44103182.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28130143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4919 + ... + 8969.

It is an arithmetic number, because the mean of its divisors is an integer number (1361472).

Almost surely, 228130144 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 28130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32675328).

28130144 is an abundant number, since it is smaller than the sum of its proper divisors (37220512).

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

28130144 is a wasteful number, since it uses less digits than its factorization.

28130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 28130144 is about 5303.7858176966. The cubic root of 28130144 is about 304.1286390023.

The spelling of 28130144 in words is "twenty-eight million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 4051 6944 8102 16204 28357 32408 56714 64816 113428 125581 129632 226856 251162 453712 502324 879067 907424 1004648 1758134 2009296 3516268 4018592 7032536 14065072 28130144