1993033728 has 384 divisors, whose sum is σ = 7128576000. Its totient is φ = 537477120.

The previous prime is 1993033699. The next prime is 1993033751. The reversal of 1993033728 is 8273303991.

It is a tau number, because it is divible by the number of its divisors (384).

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, 7354233 + ... + 7354503.

It is an arithmetic number, because the mean of its divisors is an integer number (18564000).

Almost surely, 2^1993033728 is an apocalyptic number.

1993033728 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 1993033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564288000).

1993033728 is an abundant number, since it is smaller than the sum of its proper divisors (5135542272).

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

1993033728 is a wasteful number, since it uses less digits than its factorization.

1993033728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1993033728 is about 44643.4063216507. The cubic root of 1993033728 is about 1258.4565227387.

The spelling of 1993033728 in words is "one billion, nine hundred ninety-three million, thirty-three thousand, seven hundred twenty-eight".