1875828480 has 288 divisors, whose sum is σ = 6364721664. Its totient is φ = 469843968.

The previous prime is 1875828473. The next prime is 1875828509. The reversal of 1875828480 is 848285781.

It is a super-2 number, since 2×1875828480² = 7037464972758220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5917282 + ... + 5917598.

It is an arithmetic number, because the mean of its divisors is an integer number (22099728).

Almost surely, 2^1875828480 is an apocalyptic number.

1875828480 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 1875828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182360832).

1875828480 is an abundant number, since it is smaller than the sum of its proper divisors (4488893184).

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

1875828480 is a wasteful number, since it uses less digits than its factorization.

1875828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 51.

The square root of 1875828480 is about 43310.8355957259. The cubic root of 1875828480 is about 1233.2876288558.

The spelling of 1875828480 in words is "one billion, eight hundred seventy-five million, eight hundred twenty-eight thousand, four hundred eighty".