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1628818324 = 227235094969
BaseRepresentation
bin110000100010101…
…1100101110010100
311012111220112200121
41201011130232110
511313434141244
6425343121324
755235504320
oct14105345624
94174815617
101628818324
11766475351
123955a3244
131cc5b5c33
14116476980
1597ee2c84
hex6115cb94

1628818324 has 48 divisors (see below), whose sum is σ = 3406636800. Its totient is φ = 666268416.

The previous prime is 1628818319. The next prime is 1628818333. The reversal of 1628818324 is 4238188261.

It is a happy number.

1628818324 is a modest number, since divided by 18324 gives 16288 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325312 + ... + 330280.

It is an arithmetic number, because the mean of its divisors is an integer number (70971600).

Almost surely, 21628818324 is an apocalyptic number.

1628818324 is a gapful number since it is divisible by the number (14) 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 1628818324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703318400).

1628818324 is an abundant number, since it is smaller than the sum of its proper divisors (1777818476).

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

1628818324 is a wasteful number, since it uses less digits than its factorization.

1628818324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5512 (or 5510 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 1628818324 is about 40358.6214333443. The cubic root of 1628818324 is about 1176.5874602429.

The spelling of 1628818324 in words is "one billion, six hundred twenty-eight million, eight hundred eighteen thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 509 644 1018 2036 3563 4969 7126 9938 11707 14252 19876 23414 34783 46828 69566 81949 114287 139132 163898 228574 327796 457148 800009 1600018 2529221 3200036 5058442 10116884 17704547 35409094 58172083 70818188 116344166 232688332 407204581 814409162 1628818324