128948400 has 540 divisors, whose sum is σ = 563983992. Its totient is φ = 27095040.

The previous prime is 128948381. The next prime is 128948423. The reversal of 128948400 is 4849821.

128948400 = T₁₃₅ + T₁₃₆ + ... + T₉₁₈.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2998779 + ... + 2998821.

Almost surely, 2^128948400 is an apocalyptic number.

128948400 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 128948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281991996).

128948400 is an abundant number, since it is smaller than the sum of its proper divisors (435035592).

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

128948400 is a wasteful number, since it uses less digits than its factorization.

128948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 128948400 is about 11355.5449010605. The cubic root of 128948400 is about 505.2100554115.

The spelling of 128948400 in words is "one hundred twenty-eight million, nine hundred forty-eight thousand, four hundred".