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28997120 = 29547241
BaseRepresentation
bin110111010011…
…1011000000000
32000120012120102
41232213120000
524410401440
62513301532
7501320465
oct156473000
960505512
1028997120
1115405a69
1298648a8
136013679
143bcb66c
15282bb15
hex1ba7600

28997120 has 80 divisors (see below), whose sum is σ = 71299008. Its totient is φ = 11304960.

The previous prime is 28997119. The next prime is 28997123. The reversal of 28997120 is 2179982.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28997123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120200 + ... + 120440.

Almost surely, 228997120 is an apocalyptic number.

28997120 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 28997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35649504).

28997120 is an abundant number, since it is smaller than the sum of its proper divisors (42301888).

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

28997120 is an equidigital number, since it uses as much as digits as its factorization.

28997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 28997120 is about 5384.8973992083. The cubic root of 28997120 is about 307.2215118038.

The spelling of 28997120 in words is "twenty-eight million, nine hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 241 256 320 376 470 482 512 640 752 940 964 1205 1280 1504 1880 1928 2410 2560 3008 3760 3856 4820 6016 7520 7712 9640 11327 12032 15040 15424 19280 22654 24064 30080 30848 38560 45308 56635 60160 61696 77120 90616 113270 120320 123392 154240 181232 226540 308480 362464 453080 616960 724928 906160 1449856 1812320 2899712 3624640 5799424 7249280 14498560 28997120