48685728 has 96 divisors (see below), whose sum is σ = 157320576. Its totient is φ = 12837888.

The previous prime is 48685727. The next prime is 48685781. The reversal of 48685728 is 82758684.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48685728² = 4740600221779968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48685727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5950 + ... + 11522.

It is an arithmetic number, because the mean of its divisors is an integer number (1638756).

Almost surely, 2^48685728 is an apocalyptic number.

48685728 is a gapful number since it is divisible by the number (48) 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 48685728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78660288).

48685728 is an abundant number, since it is smaller than the sum of its proper divisors (108634848).

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

48685728 is a wasteful number, since it uses less digits than its factorization.

48685728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5598 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 48685728 is about 6977.5158903438. The cubic root of 48685728 is about 365.1465677712.

The spelling of 48685728 in words is "forty-eight million, six hundred eighty-five thousand, seven hundred twenty-eight".