48801792 has 144 divisors (see below), whose sum is σ = 143881920. Its totient is φ = 14696448.

The previous prime is 48801773. The next prime is 48801793. The reversal of 48801792 is 29710884.

It is a super-2 number, since 2×48801792² = 4763229804822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 48801792.

It is not an unprimeable number, because it can be changed into a prime (48801793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038313 + ... + 1038359.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 2^48801792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).

48801792 is an abundant number, since it is smaller than the sum of its proper divisors (95080128).

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

48801792 is a wasteful number, since it uses less digits than its factorization.

48801792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 48801792 is about 6985.8279394786. The cubic root of 48801792 is about 365.4365003657.

The spelling of 48801792 in words is "forty-eight million, eight hundred one thousand, seven hundred ninety-two".