793948428 has 288 divisors, whose sum is σ = 2616082560. Its totient is φ = 197406720.

The previous prime is 793948417. The next prime is 793948451. The reversal of 793948428 is 824849397.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5795176 + ... + 5795312.

It is an arithmetic number, because the mean of its divisors is an integer number (9083620).

Almost surely, 2^793948428 is an apocalyptic number.

793948428 is a gapful number since it is divisible by the number (78) 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 793948428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308041280).

793948428 is an abundant number, since it is smaller than the sum of its proper divisors (1822134132).

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

793948428 is a wasteful number, since it uses less digits than its factorization.

793948428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 793948428 is about 28177.0904814532. The cubic root of 793948428 is about 925.9710972200.

The spelling of 793948428 in words is "seven hundred ninety-three million, nine hundred forty-eight thousand, four hundred twenty-eight".