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728128714320 = 2433573982789
BaseRepresentation
bin10101001100001111101…
…10100111011001010000
32120121102112122010202000
422212013312213121100
543412201422324240
61314255301154000
7103414464645000
oct12460766473120
92517375563660
10728128714320
1126088574a037
12b91489bb900
135387bc431b7
1427354ddc000
1513e18796430
hexa987da7650

728128714320 has 320 divisors, whose sum is σ = 2924783040000. Its totient is φ = 166429251072.

The previous prime is 728128714319. The next prime is 728128714321. The reversal of 728128714320 is 23417821827.

728128714320 is a `hidden beast` number, since 7 + 28 + 128 + 71 + 432 + 0 = 666.

728128714320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (728128714319) and next prime (728128714321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728128714321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249486 + ... + 1232274.

It is an arithmetic number, because the mean of its divisors is an integer number (9139947000).

Almost surely, 2728128714320 is an apocalyptic number.

728128714320 is a gapful number since it is divisible by the number (70) 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 728128714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462391520000).

728128714320 is an abundant number, since it is smaller than the sum of its proper divisors (2196654325680).

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

728128714320 is a wasteful number, since it uses less digits than its factorization.

728128714320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982832 (or 982806 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 728128714320 in words is "seven hundred twenty-eight billion, one hundred twenty-eight million, seven hundred fourteen thousand, three hundred twenty".