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5412827728 = 2472112329941
BaseRepresentation
bin1010000101010000…
…10011001001010000
3111222020012010202001
411002220103021100
542041140441403
62253035403344
7251064163600
oct50250231120
914866163661
105412827728
112328444650
1210708b3554
13683541b59
14394c44c00
1521a300c1d
hex142a13250

5412827728 has 240 divisors, whose sum is σ = 14381400960. Its totient is φ = 1945574400.

The previous prime is 5412827713. The next prime is 5412827729. The reversal of 5412827728 is 8277282145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5412827729) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5751738 + ... + 5752678.

It is an arithmetic number, because the mean of its divisors is an integer number (59922504).

Almost surely, 25412827728 is an apocalyptic number.

5412827728 is a gapful number since it is divisible by the number (58) 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 5412827728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7190700480).

5412827728 is an abundant number, since it is smaller than the sum of its proper divisors (8968573232).

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

5412827728 is a wasteful number, since it uses less digits than its factorization.

5412827728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1013 counting only the distinct ones).

The product of its digits is 501760, while the sum is 46.

The square root of 5412827728 is about 73571.9221442528. The cubic root of 5412827728 is about 1755.7987482166.

The spelling of 5412827728 in words is "five billion, four hundred twelve million, eight hundred twenty-seven thousand, seven hundred twenty-eight".