128762460 has 120 divisors (see below), whose sum is σ = 410869536. Its totient is φ = 33747840.

The previous prime is 128762423. The next prime is 128762461. The reversal of 128762460 is 64267821.

128762460 is a `hidden beast` number, since 1 + 28 + 7 + 624 + 6 + 0 = 666.

It is a super-2 number, since 2×128762460² = 33159542210503200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128762461) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98169 + ... + 99471.

Almost surely, 2^128762460 is an apocalyptic number.

128762460 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 128762460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205434768).

128762460 is an abundant number, since it is smaller than the sum of its proper divisors (282107076).

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

128762460 is a wasteful number, since it uses less digits than its factorization.

128762460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 128762460 is about 11347.3547578279. The cubic root of 128762460 is about 504.9671056573.

The spelling of 128762460 in words is "one hundred twenty-eight million, seven hundred sixty-two thousand, four hundred sixty".