57729840 has 120 divisors (see below), whose sum is σ = 208223280. Its totient is φ = 13192704.

The previous prime is 57729799. The next prime is 57729853. The reversal of 57729840 is 4892775.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 57729792 and 57729801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9306 + ... + 14214.

It is an arithmetic number, because the mean of its divisors is an integer number (1735194).

Almost surely, 2^57729840 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 57729840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104111640).

57729840 is an abundant number, since it is smaller than the sum of its proper divisors (150493440).

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

57729840 is a wasteful number, since it uses less digits than its factorization.

57729840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 57729840 is about 7598.0155303869. The cubic root of 57729840 is about 386.4857192728.

The spelling of 57729840 in words is "fifty-seven million, seven hundred twenty-nine thousand, eight hundred forty".