1950107328 has 252 divisors, whose sum is σ = 6242998944. Its totient is φ = 578534400.

The previous prime is 1950107321. The next prime is 1950107329. The reversal of 1950107328 is 8237010591.

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 = 1950107292 and 1950107301.

It is not an unprimeable number, because it can be changed into a prime (1950107321) 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 35 ways as a sum of consecutive naturals, for example, 7195833 + ... + 7196103.

Almost surely, 2^1950107328 is an apocalyptic number.

1950107328 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 1950107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121499472).

1950107328 is an abundant number, since it is smaller than the sum of its proper divisors (4292891616).

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

1950107328 is a wasteful number, since it uses less digits than its factorization.

1950107328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1950107328 is about 44160.0195652131. The cubic root of 1950107328 is about 1249.3558981366.

It can be divided in two parts, 1950 and 107328, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 1950107328 in words is "one billion, nine hundred fifty million, one hundred seven thousand, three hundred twenty-eight".