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28350144 = 263283593
BaseRepresentation
bin110110000100…
…1011011000000
31222100100002100
41230021123000
524224201034
62451350400
7462654324
oct154113300
958310070
1028350144
1115003979
1295b2400
135b48044
143a9d984
152750099
hex1b096c0

28350144 has 84 divisors (see below), whose sum is σ = 82378296. Its totient is φ = 9320448.

The previous prime is 28350143. The next prime is 28350173. The reversal of 28350144 is 44105382.

It is not an unprimeable number, because it can be changed into a prime (28350143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47512 + ... + 48104.

It is an arithmetic number, because the mean of its divisors is an integer number (980694).

Almost surely, 228350144 is an apocalyptic number.

28350144 is a gapful number since it is divisible by the number (24) 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 28350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41189148).

28350144 is an abundant number, since it is smaller than the sum of its proper divisors (54028152).

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

28350144 is a wasteful number, since it uses less digits than its factorization.

28350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28350144 is about 5324.4853272406. The cubic root of 28350144 is about 304.9194233084.

The spelling of 28350144 in words is "twenty-eight million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 593 664 747 996 1186 1328 1494 1779 1992 2372 2656 2988 3558 3984 4744 5312 5337 5976 7116 7968 9488 10674 11952 14232 15936 18976 21348 23904 28464 37952 42696 47808 49219 56928 85392 98438 113856 147657 170784 196876 295314 341568 393752 442971 590628 787504 885942 1181256 1575008 1771884 2362512 3150016 3543768 4725024 7087536 9450048 14175072 28350144