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1428036480 = 27345132163
BaseRepresentation
bin101010100011110…
…0001101110000000
310200112002202210000
41111013201232000
510411034131410
6353411440000
750250052443
oct12507415600
93615082700
101428036480
116730a8a42
1233a2b6000
13199b16b00
14d792d65a
1585581dc0
hex551e1b80

1428036480 has 480 divisors, whose sum is σ = 5556121560. Its totient is φ = 349360128.

The previous prime is 1428036479. The next prime is 1428036481. The reversal of 1428036480 is 846308241.

1428036480 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 0 + 3 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1428036479) and next prime (1428036481).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428036481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8760879 + ... + 8761041.

Almost surely, 21428036480 is an apocalyptic number.

1428036480 is a gapful number since it is divisible by the number (10) 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 1428036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778060780).

1428036480 is an abundant number, since it is smaller than the sum of its proper divisors (4128085080).

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

1428036480 is a wasteful number, since it uses less digits than its factorization.

1428036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1428036480 is about 37789.3699338848. The cubic root of 1428036480 is about 1126.1072831305.

The spelling of 1428036480 in words is "one billion, four hundred twenty-eight million, thirty-six thousand, four hundred eighty".