128049600 has 336 divisors, whose sum is σ = 497888768. Its totient is φ = 28200960.

The previous prime is 128049589. The next prime is 128049611. The reversal of 128049600 is 6940821.

It is an interprime number because it is at equal distance from previous prime (128049589) and next prime (128049611).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243149 + ... + 1243251.

Almost surely, 2^128049600 is an apocalyptic number.

128049600 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 128049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248944384).

128049600 is an abundant number, since it is smaller than the sum of its proper divisors (369839168).

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

128049600 is a wasteful number, since it uses less digits than its factorization.

128049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 128049600 is about 11315.9003176946. The cubic root of 128049600 is about 504.0335074724.

The spelling of 128049600 in words is "one hundred twenty-eight million, forty-nine thousand, six hundred".