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28946944 = 29134349
BaseRepresentation
bin110111001101…
…1001000000000
32000110122202001
41232123020000
524402300234
62512233344
7501021265
oct156331000
960418661
1028946944
11153812a4
12983b854
135cc6890
143bb726c
15281bd14
hex1b9b200

28946944 has 40 divisors (see below), whose sum is σ = 62300700. Its totient is φ = 13357056.

The previous prime is 28946941. The next prime is 28946977. The reversal of 28946944 is 44964982.

It can be written as a sum of positive squares in 2 ways, for example, as 21977344 + 6969600 = 4688^2 + 2640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28946894 and 28946903.

It is not an unprimeable number, because it can be changed into a prime (28946941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4482 + ... + 8830.

Almost surely, 228946944 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 28946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31150350).

28946944 is an abundant number, since it is smaller than the sum of its proper divisors (33353756).

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

28946944 is an equidigital number, since it uses as much as digits as its factorization.

28946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4364 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 28946944 is about 5380.2364260319. The cubic root of 28946944 is about 307.0442063049.

It can be divided in two parts, 28946 and 944, that added together give a triangular number (29890 = T244).

The spelling of 28946944 in words is "twenty-eight million, nine hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 4349 6656 8698 17396 34792 56537 69584 113074 139168 226148 278336 452296 556672 904592 1113344 1809184 2226688 3618368 7236736 14473472 28946944