120477528 has 96 divisors (see below), whose sum is σ = 336960000. Its totient is φ = 38870208.

The previous prime is 120477527. The next prime is 120477541. The reversal of 120477528 is 825774021.

120477528 is a `hidden beast` number, since 120 + 4 + 7 + 7 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120477492 and 120477501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120477527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335413 + ... + 335771.

It is an arithmetic number, because the mean of its divisors is an integer number (3510000).

Almost surely, 2^120477528 is an apocalyptic number.

120477528 is a gapful number since it is divisible by the number (18) 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 120477528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480000).

120477528 is an abundant number, since it is smaller than the sum of its proper divisors (216482472).

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

120477528 is a wasteful number, since it uses less digits than its factorization.

120477528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 120477528 is about 10976.2255807723. The cubic root of 120477528 is about 493.8958185347.

The spelling of 120477528 in words is "one hundred twenty million, four hundred seventy-seven thousand, five hundred twenty-eight".