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28882704384 = 211331937743
BaseRepresentation
bin11010111001100010…
…110001100000000000
32202112212220101221000
4122321202301200000
5433122433020014
621134000332000
72041511636142
oct327142614000
982485811830
1028882704384
1111281596326
125720914000
132953a69c31
14157dcc6c92
15b409c8509
hex6b98b1800

28882704384 has 384 divisors, whose sum is σ = 92619072000. Its totient is φ = 8862400512.

The previous prime is 28882704379. The next prime is 28882704391. The reversal of 28882704384 is 48340728882.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×288827043842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28882704384.

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 31 ways as a sum of consecutive naturals, for example, 38872717 + ... + 38873459.

It is an arithmetic number, because the mean of its divisors is an integer number (241195500).

Almost surely, 228882704384 is an apocalyptic number.

28882704384 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 28882704384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536000).

28882704384 is an abundant number, since it is smaller than the sum of its proper divisors (63736367616).

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

28882704384 is a wasteful number, since it uses less digits than its factorization.

28882704384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 28882704384 in words is "twenty-eight billion, eight hundred eighty-two million, seven hundred four thousand, three hundred eighty-four".