48052800 has 252 divisors, whose sum is σ = 176881536. Its totient is φ = 12364800.

The previous prime is 48052799. The next prime is 48052813. The reversal of 48052800 is 825084.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 676765 + ... + 676835.

Almost surely, 2^48052800 is an apocalyptic number.

48052800 is a gapful number since it is divisible by the number (40) 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 48052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88440768).

48052800 is an abundant number, since it is smaller than the sum of its proper divisors (128828736).

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

48052800 is a wasteful number, since it uses less digits than its factorization.

48052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 48052800 is about 6932.0126947374. The cubic root of 48052800 is about 363.5573252461.

Adding to 48052800 its reverse (825084), we get a palindrome (48877884).

The spelling of 48052800 in words is "forty-eight million, fifty-two thousand, eight hundred".