1993837248 has 448 divisors, whose sum is σ = 7005035520. Its totient is φ = 549863424.

The previous prime is 1993837207. The next prime is 1993837249. The reversal of 1993837248 is 8427383991.

1993837248 is a `hidden beast` number, since 19 + 9 + 383 + 7 + 248 = 666.

1993837248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1993837194 and 1993837203.

It is not an unprimeable number, because it can be changed into a prime (1993837249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8783311 + ... + 8783537.

It is an arithmetic number, because the mean of its divisors is an integer number (15636240).

Almost surely, 2^1993837248 is an apocalyptic number.

1993837248 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 1993837248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502517760).

1993837248 is an abundant number, since it is smaller than the sum of its proper divisors (5011198272).

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

1993837248 is a wasteful number, since it uses less digits than its factorization.

1993837248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 1993837248 is about 44652.4047280771. The cubic root of 1993837248 is about 1258.6256215868.

The spelling of 1993837248 in words is "one billion, nine hundred ninety-three million, eight hundred thirty-seven thousand, two hundred forty-eight".