1975528320 has 128 divisors (see below), whose sum is σ = 6500321280. Its totient is φ = 509798400.

The previous prime is 1975528279. The next prime is 1975528349. The reversal of 1975528320 is 238255791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42925 + ... + 76115.

It is an arithmetic number, because the mean of its divisors is an integer number (50783760).

Almost surely, 2^1975528320 is an apocalyptic number.

1975528320 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 1975528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250160640).

1975528320 is an abundant number, since it is smaller than the sum of its proper divisors (4524792960).

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

1975528320 is a wasteful number, since it uses less digits than its factorization.

1975528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33244 (or 33232 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 1975528320 is about 44446.9157535143. The cubic root of 1975528320 is about 1254.7612165611.

The spelling of 1975528320 in words is "one billion, nine hundred seventy-five million, five hundred twenty-eight thousand, three hundred twenty".