7429128000 has 224 divisors, whose sum is σ = 28036040448. Its totient is φ = 1698048000.

The previous prime is 7429127989. The next prime is 7429128011. The reversal of 7429128000 is 8219247.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7429127989) and next prime (7429128011).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145890 + ... + 190110.

Almost surely, 2^7429128000 is an apocalyptic number.

7429128000 is a gapful number since it is divisible by the number (70) 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 7429128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018020224).

7429128000 is an abundant number, since it is smaller than the sum of its proper divisors (20606912448).

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

7429128000 is a wasteful number, since it uses less digits than its factorization.

7429128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44258 (or 44238 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 7429128000 is about 86192.3894552181. The cubic root of 7429128000 is about 1951.2486414452.

The spelling of 7429128000 in words is "seven billion, four hundred twenty-nine million, one hundred twenty-eight thousand".