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28977984 = 263277187
BaseRepresentation
bin110111010001…
…0101101000000
32000112020022200
41232202231000
524404243414
62513033200
7501210630
oct156425500
960466280
1028977984
11153a2652
129855800
136007a49
143bc46c0
152826109
hex1ba2b40

28977984 has 84 divisors (see below), whose sum is σ = 94939104. Its totient is φ = 8278272.

The previous prime is 28977943. The next prime is 28978003. The reversal of 28977984 is 48977982.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28977984.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 439 + ... + 7625.

Almost surely, 228977984 is an apocalyptic number.

28977984 is a gapful number since it is divisible by the number (24) 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 28977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47469552).

28977984 is an abundant number, since it is smaller than the sum of its proper divisors (65961120).

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

28977984 is a wasteful number, since it uses less digits than its factorization.

28977984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212 (or 7199 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 28977984 is about 5383.1202847419. The cubic root of 28977984 is about 307.1539156131.

The spelling of 28977984 in words is "twenty-eight million, nine hundred seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 7187 14374 21561 28748 43122 50309 57496 64683 86244 100618 114992 129366 150927 172488 201236 229984 258732 301854 344976 402472 452781 459968 517464 603708 689952 804944 905562 1034928 1207416 1379904 1609888 1811124 2069856 2414832 3219776 3622248 4139712 4829664 7244496 9659328 14488992 28977984