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28932480 = 273255023
BaseRepresentation
bin110111001011…
…1100110000000
32000102220220100
41232113212000
524401314410
62512042400
7500631153
oct156274600
960386810
1028932480
1115371445
129833400
135cc0115
143bb1c9a
1528178c0
hex1b97980

28932480 has 96 divisors (see below), whose sum is σ = 99927360. Its totient is φ = 7713792.

The previous prime is 28932473. The next prime is 28932493. The reversal of 28932480 is 8423982.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3249 + ... + 8271.

It is an arithmetic number, because the mean of its divisors is an integer number (1040910).

Almost surely, 228932480 is an apocalyptic number.

28932480 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 28932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49963680).

28932480 is an abundant number, since it is smaller than the sum of its proper divisors (70994880).

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

28932480 is a wasteful number, since it uses less digits than its factorization.

28932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 28932480 is about 5378.8920792297. The cubic root of 28932480 is about 306.9930572406.

The spelling of 28932480 in words is "twenty-eight million, nine hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5023 5760 10046 15069 20092 25115 30138 40184 45207 50230 60276 75345 80368 90414 100460 120552 150690 160736 180828 200920 226035 241104 301380 321472 361656 401840 452070 482208 602760 642944 723312 803680 904140 964416 1205520 1446624 1607360 1808280 1928832 2411040 2893248 3214720 3616560 4822080 5786496 7233120 9644160 14466240 28932480