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28459488 = 2533173131
BaseRepresentation
bin110110010010…
…0000111100000
31222112220002010
41230210013200
524241200423
62453552520
7463621161
oct154440740
958486063
1028459488
1115079042
129645740
135b85a45
143acb768
152772693
hex1b241e0

28459488 has 96 divisors (see below), whose sum is σ = 78769152. Its totient is φ = 8985600.

The previous prime is 28459451. The next prime is 28459517. The reversal of 28459488 is 88495482.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (737280) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217183 + ... + 217313.

It is an arithmetic number, because the mean of its divisors is an integer number (820512).

Almost surely, 228459488 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 28459488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39384576).

28459488 is an abundant number, since it is smaller than the sum of its proper divisors (50309664).

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

28459488 is a wasteful number, since it uses less digits than its factorization.

28459488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 28459488 is about 5334.7434802435. The cubic root of 28459488 is about 305.3109361518.

The spelling of 28459488 in words is "twenty-eight million, four hundred fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 73 93 96 124 131 146 186 219 248 262 292 372 393 438 496 524 584 744 786 876 992 1048 1168 1488 1572 1752 2096 2263 2336 2976 3144 3504 4061 4192 4526 6288 6789 7008 8122 9052 9563 12183 12576 13578 16244 18104 19126 24366 27156 28689 32488 36208 38252 48732 54312 57378 64976 72416 76504 97464 108624 114756 129952 153008 194928 217248 229512 296453 306016 389856 459024 592906 889359 918048 1185812 1778718 2371624 3557436 4743248 7114872 9486496 14229744 28459488