1464344028 has 288 divisors, whose sum is σ = 4802172480. Its totient is φ = 383201280.

The previous prime is 1464343997. The next prime is 1464344129. The reversal of 1464344028 is 8204434641.

1464344028 is a `hidden beast` number, since 1 + 4 + 643 + 4 + 4 + 0 + 2 + 8 = 666.

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 = 1464343983 and 1464344001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3688326 + ... + 3688722.

It is an arithmetic number, because the mean of its divisors is an integer number (16674210).

Almost surely, 2^1464344028 is an apocalyptic number.

1464344028 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 1464344028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401086240).

1464344028 is an abundant number, since it is smaller than the sum of its proper divisors (3337828452).

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

1464344028 is a wasteful number, since it uses less digits than its factorization.

1464344028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 1464344028 is about 38266.7483332462. The cubic root of 1464344028 is about 1135.5712102121.

Adding to 1464344028 its reverse (8204434641), we get a palindrome (9668778669).

The spelling of 1464344028 in words is "one billion, four hundred sixty-four million, three hundred forty-four thousand, twenty-eight".