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28029744 = 2432613191
BaseRepresentation
bin110101011101…
…1001100110000
31221202001120200
41222323030300
524133422434
62440435200
7460151241
oct152731460
957661520
1028029744
1114905186
129478b00
135a65262
143a18cc8
1526da199
hex1abb330

28029744 has 60 divisors (see below), whose sum is σ = 79755312. Its totient is φ = 9187200.

The previous prime is 28029713. The next prime is 28029811. The reversal of 28029744 is 44792082.

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 = 28029699 and 28029708.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7189 + ... + 10379.

Almost surely, 228029744 is an apocalyptic number.

28029744 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 28029744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39877656).

28029744 is an abundant number, since it is smaller than the sum of its proper divisors (51725568).

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

28029744 is a wasteful number, since it uses less digits than its factorization.

28029744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28029744 is about 5294.3124199465. The cubic root of 28029744 is about 303.7663833057.

The spelling of 28029744 in words is "twenty-eight million, twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 3191 4392 6382 8784 9573 12764 19146 25528 28719 38292 51056 57438 76584 114876 153168 194651 229752 389302 459504 583953 778604 1167906 1557208 1751859 2335812 3114416 3503718 4671624 7007436 9343248 14014872 28029744