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2828335400 = 2352111285607
BaseRepresentation
bin1010100010010100…
…1111100100101000
321022010000022202222
42220211033210220
521243023213100
61144353013212
7130042311542
oct25045174450
97263008688
102828335400
111221581280
1266b254208
13360c6b657
141cb8bc692
15118485485
hexa894f928

2828335400 has 48 divisors (see below), whose sum is σ = 7173692640. Its totient is φ = 1028484800.

The previous prime is 2828335399. The next prime is 2828335423. The reversal of 2828335400 is 45338282.

It is a super-2 number, since 2×28283354002 = 15998962269786320000, which contains 22 as substring.

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, 640604 + ... + 645003.

It is an arithmetic number, because the mean of its divisors is an integer number (149451930).

Almost surely, 22828335400 is an apocalyptic number.

2828335400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828335400 is an abundant number, since it is smaller than the sum of its proper divisors (4345357240).

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

2828335400 is a wasteful number, since it uses less digits than its factorization.

2828335400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285634 (or 1285625 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2828335400 is about 53182.0966115478. The cubic root of 2828335400 is about 1414.1982747501.

The spelling of 2828335400 in words is "two billion, eight hundred twenty-eight million, three hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 1285607 2571214 5142428 6428035 10284856 12856070 14141677 25712140 28283354 32140175 51424280 56566708 64280350 70708385 113133416 128560700 141416770 257121400 282833540 353541925 565667080 707083850 1414167700 2828335400