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3928637728 = 25236779669
BaseRepresentation
bin1110101000101010…
…0100000100100000
3101010210102110211001
43222022210010200
531021212401403
61445500201344
7166232604211
oct35212440440
911123373731
103928637728
111736682744
12917839254
134a7bc6b12
14293a99408
1517ed7ac1d
hexea2a4120

3928637728 has 48 divisors (see below), whose sum is σ = 8191350720. Its totient is φ = 1850846976.

The previous prime is 3928637711. The next prime is 3928637777. The reversal of 3928637728 is 8277368293.

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 7 ways as a sum of consecutive naturals, for example, 9478 + ... + 89146.

It is an arithmetic number, because the mean of its divisors is an integer number (170653140).

Almost surely, 23928637728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3928637728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095675360).

3928637728 is an abundant number, since it is smaller than the sum of its proper divisors (4262712992).

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

3928637728 is a wasteful number, since it uses less digits than its factorization.

3928637728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79769 (or 79761 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 55.

The square root of 3928637728 is about 62678.8459370464. The cubic root of 3928637728 is about 1577.9043047877.

The spelling of 3928637728 in words is "three billion, nine hundred twenty-eight million, six hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 67 92 134 184 268 368 536 736 1072 1541 2144 3082 6164 12328 24656 49312 79669 159338 318676 637352 1274704 1832387 2549408 3664774 5337823 7329548 10675646 14659096 21351292 29318192 42702584 58636384 85405168 122769929 170810336 245539858 491079716 982159432 1964318864 3928637728