128918790 has 384 divisors, whose sum is σ = 475517952. Its totient is φ = 24261120.

The previous prime is 128918771. The next prime is 128918821. The reversal of 128918790 is 97819821.

It is a super-3 number, since 3×128918790³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2432404 + ... + 2432456.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2^128918790 is an apocalyptic number.

128918790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128918790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

128918790 is an abundant number, since it is smaller than the sum of its proper divisors (346599162).

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

128918790 is a wasteful number, since it uses less digits than its factorization.

128918790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 128918790 is about 11354.2410578603. The cubic root of 128918790 is about 505.1713825395.

The spelling of 128918790 in words is "one hundred twenty-eight million, nine hundred eighteen thousand, seven hundred ninety".