1903328952 has 256 divisors, whose sum is σ = 5998080000. Its totient is φ = 501427584.

The previous prime is 1903328929. The next prime is 1903328969. The reversal of 1903328952 is 2598233091.

It is a super-2 number, since 2×1903328952² = 7245322199042836608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6725403 + ... + 6725685.

It is an arithmetic number, because the mean of its divisors is an integer number (23430000).

Almost surely, 2^1903328952 is an apocalyptic number.

1903328952 is a gapful number since it is divisible by the number (12) 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 1903328952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999040000).

1903328952 is an abundant number, since it is smaller than the sum of its proper divisors (4094751048).

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

1903328952 is a wasteful number, since it uses less digits than its factorization.

1903328952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1903328952 is about 43627.1584222489. The cubic root of 1903328952 is about 1239.2852610120.

The spelling of 1903328952 in words is "one billion, nine hundred three million, three hundred twenty-eight thousand, nine hundred fifty-two".