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29628 = 2232823
BaseRepresentation
bin111001110111100
31111122100
413032330
51422003
6345100
7152244
oct71674
944570
1029628
1120295
1215190
1310641
14ab24
158ba3
hex73bc

29628 has 18 divisors (see below), whose sum is σ = 74984. Its totient is φ = 9864.

The previous prime is 29611. The next prime is 29629. The reversal of 29628 is 82692.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29629) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 376 + ... + 447.

229628 is an apocalyptic number.

It is an amenable number.

29628 is an abundant number, since it is smaller than the sum of its proper divisors (45356).

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

29628 is a wasteful number, since it uses less digits than its factorization.

29628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 828 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 29628 is about 172.1278594534. The cubic root of 29628 is about 30.9433582417.

It can be divided in two parts, 296 and 28, that added together give a square (324 = 182).

The spelling of 29628 in words is "twenty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 823 1646 2469 3292 4938 7407 9876 14814 29628