120628440 has 160 divisors (see below), whose sum is σ = 418872960. Its totient is φ = 31104000.

The previous prime is 120628433. The next prime is 120628493. The reversal of 120628440 is 44826021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99840 + ... + 101040.

It is an arithmetic number, because the mean of its divisors is an integer number (2617956).

Almost surely, 2^120628440 is an apocalyptic number.

120628440 is a gapful number since it is divisible by the number (10) 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 120628440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209436480).

120628440 is an abundant number, since it is smaller than the sum of its proper divisors (298244520).

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

120628440 is a wasteful number, since it uses less digits than its factorization.

120628440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 120628440 is about 10983.0979236279. The cubic root of 120628440 is about 494.1019529829.

It can be divided in two parts, 12062 and 8440, that added together give a palindrome (20502).

The spelling of 120628440 in words is "one hundred twenty million, six hundred twenty-eight thousand, four hundred forty".