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28929920 = 275172659
BaseRepresentation
bin110111001011…
…0111110000000
32000102210101112
41232112332000
524401224140
62512022452
7500620535
oct156267600
960383345
1028929920
111536a528
129831a28
135cbbbc6
143bb0d8c
152816c65
hex1b96f80

28929920 has 64 divisors (see below), whose sum is σ = 73256400. Its totient is φ = 10887168.

The previous prime is 28929889. The next prime is 28929977. The reversal of 28929920 is 2992982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9551 + ... + 12209.

Almost surely, 228929920 is an apocalyptic number.

28929920 is a gapful number since it is divisible by the number (20) 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 28929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628200).

28929920 is an abundant number, since it is smaller than the sum of its proper divisors (44326480).

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

28929920 is a wasteful number, since it uses less digits than its factorization.

28929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 28929920 is about 5378.6541067445. The cubic root of 28929920 is about 306.9840025334.

The spelling of 28929920 in words is "twenty-eight million, nine hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2659 2720 5318 5440 10636 10880 13295 21272 26590 42544 45203 53180 85088 90406 106360 170176 180812 212720 226015 340352 361624 425440 452030 723248 850880 904060 1446496 1701760 1808120 2892992 3616240 5785984 7232480 14464960 28929920