48128400 has 180 divisors, whose sum is σ = 173152980. Its totient is φ = 12364800.

The previous prime is 48128369. The next prime is 48128401. The reversal of 48128400 is 482184.

It can be written as a sum of positive squares in 6 ways, for example, as 2322576 + 45805824 = 1524^2 + 6768^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48128401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104170 + ... + 104630.

It is an arithmetic number, because the mean of its divisors is an integer number (961961).

Almost surely, 2^48128400 is an apocalyptic number.

48128400 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 48128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86576490).

48128400 is an abundant number, since it is smaller than the sum of its proper divisors (125024580).

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

48128400 is a wasteful number, since it uses less digits than its factorization.

48128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48128400 is about 6937.4635134176. The cubic root of 48128400 is about 363.7478832200.

The spelling of 48128400 in words is "forty-eight million, one hundred twenty-eight thousand, four hundred".