58428293036400 has 1440 divisors, whose sum is σ = 252955102694400. Its totient is φ = 12747935692800.

The previous prime is 58428293036381. The next prime is 58428293036479. The reversal of 58428293036400 is 463039282485.

58428293036400 is a `hidden beast` number, since 5 + 8 + 42 + 82 + 93 + 0 + 36 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6195339685 + ... + 6195349115.

It is an arithmetic number, because the mean of its divisors is an integer number (175663265760).

Almost surely, 2^{58428293036400} is an apocalyptic number.

58428293036400 is a gapful number since it is divisible by the number (50) 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 58428293036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126477551347200).

58428293036400 is an abundant number, since it is smaller than the sum of its proper divisors (194526809658000).

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

58428293036400 is a wasteful number, since it uses less digits than its factorization.

58428293036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004 (or 9980 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 58428293036400 in words is "fifty-eight trillion, four hundred twenty-eight billion, two hundred ninety-three million, thirty-six thousand, four hundred".