30028694400 has 288 divisors, whose sum is σ = 112790753400. Its totient is φ = 7586058240.

The previous prime is 30028694369. The next prime is 30028694431. The reversal of 30028694400 is 449682003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30028694369) and next prime (30028694431).

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 519762 + ... + 574638.

Almost surely, 2^30028694400 is an apocalyptic number.

30028694400 is a gapful number since it is divisible by the number (30) 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 30028694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56395376700).

30028694400 is an abundant number, since it is smaller than the sum of its proper divisors (82762059000).

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

30028694400 is a wasteful number, since it uses less digits than its factorization.

30028694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54926 (or 54906 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30028694400 in words is "thirty billion, twenty-eight million, six hundred ninety-four thousand, four hundred".