48728355025 has 135 divisors (see below), whose sum is σ = 76319325971. Its totient is φ = 30854853120.

The previous prime is 48728355007. The next prime is 48728355029. The reversal of 48728355025 is 52055382784.

The square root of 48728355025 is 220745.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7496615889 + 41231739136 = 86583^2 + 203056^2 .

It is not a de Polignac number, because 48728355025 - 2⁷ = 48728354897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 48728355025.

It is not an unprimeable number, because it can be changed into a prime (48728355029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 919402899 + ... + 919402951.

Almost surely, 2^48728355025 is an apocalyptic number.

48728355025 is the 220745-th square number.

48728355025 is the 110373-rd centered octagonal number.

It is an amenable number.

48728355025 is a deficient number, since it is larger than the sum of its proper divisors (27590970946).

48728355025 is an frugal number, since it uses more digits than its factorization.

48728355025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 49.

Multiplying 48728355025 by its sum of digits (49), we get a square (2387689396225 = 1545215²).

48728355025 divided by its sum of digits (49) gives a square (994456225 = 31535²).

The spelling of 48728355025 in words is "forty-eight billion, seven hundred twenty-eight million, three hundred fifty-five thousand, twenty-five".