1523382973728 has 768 divisors, whose sum is σ = 5327849447424. Its totient is φ = 369430364160.

The previous prime is 1523382973727. The next prime is 1523382973729. The reversal of 1523382973728 is 8273792833251.

It is an interprime number because it is at equal distance from previous prime (1523382973727) and next prime (1523382973729).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1523382973727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2640178176 + ... + 2640178752.

It is an arithmetic number, because the mean of its divisors is an integer number (6937303968).

Almost surely, 2^{1523382973728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1523382973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663924723712).

1523382973728 is an abundant number, since it is smaller than the sum of its proper divisors (3804466473696).

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

1523382973728 is a wasteful number, since it uses less digits than its factorization.

1523382973728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The spelling of 1523382973728 in words is "one trillion, five hundred twenty-three billion, three hundred eighty-two million, nine hundred seventy-three thousand, seven hundred twenty-eight".