1428513408 has 224 divisors, whose sum is σ = 4878627360. Its totient is φ = 408146688.

The previous prime is 1428513403. The next prime is 1428513409. The reversal of 1428513408 is 8043158241.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (1428513403) 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 27 ways as a sum of consecutive naturals, for example, 204073341 + ... + 204073347.

Almost surely, 2^1428513408 is an apocalyptic number.

1428513408 is a gapful number since it is divisible by the number (18) 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 1428513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439313680).

1428513408 is an abundant number, since it is smaller than the sum of its proper divisors (3450113952).

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

1428513408 is an frugal number, since it uses more digits than its factorization.

1428513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1428513408 is about 37795.6797531146. The cubic root of 1428513408 is about 1126.2326329432.

The spelling of 1428513408 in words is "one billion, four hundred twenty-eight million, five hundred thirteen thousand, four hundred eight".