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4328101728 = 253323433503
BaseRepresentation
bin1000000011111100…
…11001011101100000
3102011122002100102000
410001332121131200
532330443223403
61553250124000
7212153154246
oct40176313540
912148070360
104328101728
111921111985
12a09580600
1353c8ab452
142d0b60796
151a4e857a3
hex101f99760

4328101728 has 192 divisors, whose sum is σ = 13229153280. Its totient is φ = 1374050304.

The previous prime is 4328101721. The next prime is 4328101769. The reversal of 4328101728 is 8271018234.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4328101692 and 4328101701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4328101721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8604325 + ... + 8604827.

It is an arithmetic number, because the mean of its divisors is an integer number (68901840).

Almost surely, 24328101728 is an apocalyptic number.

4328101728 is a gapful number since it is divisible by the number (48) 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 4328101728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614576640).

4328101728 is an abundant number, since it is smaller than the sum of its proper divisors (8901051552).

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

4328101728 is a wasteful number, since it uses less digits than its factorization.

4328101728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4328101728 is about 65788.3099646130. The cubic root of 4328101728 is about 1629.6680579158.

The spelling of 4328101728 in words is "four billion, three hundred twenty-eight million, one hundred one thousand, seven hundred twenty-eight".