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28808864400 = 2435224007387
BaseRepresentation
bin11010110101001001…
…000110001010010000
32202100201221221111210
4122311021012022100
5433000032130100
621122401540120
72036624210211
oct326511061220
982321857453
1028808864400
1111243942248
125700044640
132941685634
141574185408
15b3928ec50
hex6b5246290

28808864400 has 60 divisors (see below), whose sum is σ = 92284399472. Its totient is φ = 7682363520.

The previous prime is 28808864299. The next prime is 28808864401. The reversal of 28808864400 is 446880882.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28808864400.

It is not an unprimeable number, because it can be changed into a prime (28808864401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12002494 + ... + 12004893.

Almost surely, 228808864400 is an apocalyptic number.

28808864400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28808864400 is an abundant number, since it is smaller than the sum of its proper divisors (63475535072).

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

28808864400 is a wasteful number, since it uses less digits than its factorization.

28808864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24007408 (or 24007397 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 28808864400 in words is "twenty-eight billion, eight hundred eight million, eight hundred sixty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 24007387 48014774 72022161 96029548 120036935 144044322 192059096 240073870 288088644 360110805 384118192 480147740 576177288 600184675 720221610 960295480 1152354576 1200369350 1440443220 1800554025 1920590960 2400738700 2880886440 3601108050 4801477400 5761772880 7202216100 9602954800 14404432200 28808864400